1. Teoría de homología y cohomología para variedades de Jacobi, Nambu-Poisson y Nambu-Jacobi - López Brito, María Belén
Estudio sistemático de las teorías de homología y cohomología para las variedades de Jacobi, Nambu-Poisson y Nambu-Jacobi, de interés para la física. En una primera parte hace un estudio de la homología y cohomología de Lichnerowicz-Jacobi de una variedad de Jacobi, introducidas por Vaisman, de León, Marrero y Padrón. Se describen ciertas teorías de homología y cohomología asociadas a un bialgebroide de Lie generalizado triangular de Mackenzie y Xu. Hace un cálculo esplícito de los grupos de homología y cohomología de Lichnerowicz-Jacobi de ejemplos relevantes de variedades de Jacobi y se prueba la invarianza conforme de esta teorías. En la...

2. Teoría de homología y cohomología para variedades de Jacobi, Nambu-Poisson y Nambu-Jacobi - López Brito, María Belén
Estudio sistemático de las teorías de homología y cohomología para las variedades de Jacobi, Nambu-Poisson y Nambu-Jacobi, de interés para la física. En una primera parte hace un estudio de la homología y cohomología de Lichnerowicz-Jacobi de una variedad de Jacobi, introducidas por Vaisman, de León, Marrero y Padrón. Se describen ciertas teorías de homología y cohomología asociadas a un bialgebroide de Lie generalizado triangular de Mackenzie y Xu. Hace un cálculo esplícito de los grupos de homología y cohomología de Lichnerowicz-Jacobi de ejemplos relevantes de variedades de Jacobi y se prueba la invarianza conforme de esta teorías. En la...

3. Caractéristique d'Euler Equivariante En Homologie Cyclique Périodique - Homologie Cyclique P'eriodique,A. Bella Baci
We explain in cyclic homology setting, some results of Atiyah and Segal on orbifold Euler characteristic. For this, we give a new and direct proof for the Chern isomorphism between equivariant k-theory and periodic cyclic homology of crossed product by a finite group. 1 Introduction Dans ce papier on pr'esente une nouvelle d'emonstration de l'isomorphisme fourni par le caract`ere de Chern de Connes-Karoubi entre la K-th'eorie 'equivariante de Atiyah-Segal, not'ee K G (X), pour X une vari'et'e compacte muni d'une action d'un groupe fini G, et l'homologie cyclique p'eriodique de l'alg`ebre produit crois'e C 1 (X) Theta/ G, not'ee PHC (C 1 (X) Theta/ G). () Ch C : K j G (X)Omega Z C ' PHC j (C 1 (X) Theta/...

4. Ações de p-grupos sobre produto de esferas, co-homologia dos grupos virtualmente cíclicos (\'Z IND.a\' X| \'Z IND. b\' )X| Z e [\'Z IND.a\' X| (\'Z IND.b\' X \'Q IND.2 POT. i\' )] X| Z e cohomologia de Tate - Marcio de Jesus Soares
Neste trabalho inicialmente estudamos o rank da co-homologia do espaço dos pontos fixos de uma \'Z IND.p\' - ação semilivre sobre espaços X~p \' S POT. n\' x \'S POT.n\' e X~p \'S POT.n\' x \'S POT.n\' x \'S POT.n\' , com n>0. Em seguida, estudamos uma extensão para ações de p-grupos sobre espaços X~p \'S POT.n\' X \'S POT.m\', com 0< n \'< OU =\' m. Como parte do material utilizado demos uma descrição do diferencial d1 de uma seqüência espectral que converge para co-homologia equivariante de Tate, bem como uma versão da Fórmula de Künneth para a co-homologia...

5. Caractéristique d'Euler Equivariante En Homologie Cyclique Périodique - Homologie Cyclique P'eriodique; A. Bella Baci
We explain in cyclic homology setting, some results of Atiyah and Segal on orbifold Euler characteristic. For this, we give a new and direct proof for the Chern isomorphism between equivariant k-theory and periodic cyclic homology of crossed product by a finite group. 1 Introduction Dans ce papier on pr'esente une nouvelle d'emonstration de l'isomorphisme fourni par le caract`ere de Chern de Connes-Karoubi entre la K-th'eorie 'equivariante de Atiyah-Segal, not'ee K G (X), pour X une vari'et'e compacte muni d'une action d'un groupe fini G, et l'homologie cyclique p'eriodique de l'alg`ebre produit crois'e C 1 (X) \Theta/ G, not'ee PHC...

6. Ordered And Oriented Skein Homologies - Joanna Kania-bartoszy Nska,J Ozef,H. Przytycki
Introduction Skein modules are constructed by considering a free module spanned by ambient isotopy classes of links (possibly with some sort of decoration - like framing) in a 3-manifold, with coecients in some ring, and then dividing it by a submodule generated by some skein relations. For a given skein module, one can then dene a chain complex whose homology is a 3-manifold invariant, and whose 0-th level is the original skein module. This concept was introduced and described for the Kauman bracket skein module in [BFK]. In this note we generalize some techniques developed in [BFK] to construct cycles and identify non-boundaries. We also dene oriented skein homologies 1 . 2. Detecting...

7. A Discriminative Framework for Detecting Remote Protein Homologies - Tommi Jaakkola,Mark Diekhans,David Haussler
A new method for detecting remote protein homologies is introduced and shown to perform well in classifying protein domains by SCOP superfamily. The method is a variant of support vector machines using a new kernel function. The kernel function is derived from a generative statistical model for a protein family, in this case a hidden Markov model. This general approach of combining generative models like HMMs with discriminative methods such as support vector machines may have applications in other areas of biosequence analysis as well. 1 Introduction A core problem in statistical biosequence analysis is the annotation of new protein sequences with structural and functional features. To a degree,...

8. A Discriminative Framework for Detecting Remote Protein Homologies - Tommi Jaakkola,Mark Diekhans,David Haussler
A new method for detecting remote protein homologies is introduced and shown to perform well in classifying protein domains by SCOP superfamily. The method is a variant of support vector machines using a new kernel function. The kernel function is derived from a generative statistical model for a protein family, in this case a hidden Markov model. This general approach of combining generative models like HMMs with discriminative methods such as support vector machines may have applications in other areas of biosequence analysis as well. 1 Introduction A core problem in statistical biosequence analysis is the annotation of new protein sequences with structural and functional features. To a degree,...

9. A Discriminative Framework for Detecting Remote Protein Homologies - Tommi Jaakkola,Mark Diekhans,David Haussler
A new method for detecting remote protein homologies is introduced and shown to perform well in classifying protein domains by SCOP superfamily. The method is a variant of support vector machines using a new kernel function. The kernel function is derived from a generative statistical model for a protein family, in this case a hidden Markov model. This general approach of combining generative models like HMMs with discriminative methods such as support vector machines may have applications in other areas of biosequence analysis as well. 1 Introduction A core problem in statistical biosequence analysis is the annotation of new protein sequences with structural and functional features. To a degree,...

10. A Discriminative Framework for Detecting Remote Protein Homologies - Tommi Jaakkola,Mark Diekhans,David Haussler
A new method for detecting remote protein homologies is introduced and shown to perform well in classifying protein domains by SCOP superfamily. The method is a variant of support vector machines using a new kernel function. The kernel function is derived from a generative statistical model for a protein family, in this case a hidden Markov model. This general approach of combining generative models like HMMs with discriminative methods such as support vector machines may have applications in other areas of biosequence analysis as well. 1 Introduction A core problem in statistical biosequence analysis is the annotation of new protein sequences with structural and functional features. To a degree,...

11. Grouping and Invariants using Planar Homologies - Luc Van Gool,Marc Proesmans,Andrew Zisserman
this paper. They arise when two planar shapes in the scene are related by a 3-D perspectivity. The practical importance of planar homologies will be illustrated with two examples: shadows and extruded surfaces, of which typical scenes abound. 2 Properties of a Planar Homology

12. Estimating the Size of Skein Homologies - Joanna Kania-bartoszy Nska,J Ozef,H. Przytycki,S. Sikora
. We give a new method of distinguishing elements of skein homologies. Using this method we show that each skein homology module is at least as big as the Kauman bracket skein module of a given 3-manifold. 1. Introduction Skein modules are constructed by considering a free module spanned by ambient isotopy classes of links (possibly with some sort of decoration - like framing) in a 3-manifold, and then dividing it by a submodule generated by some skein relations [P-1]. More generally, using the same skein relations, one can dene a chain complex whose 0-th homology is the original skein module, and whose higher degree homologies are some more complicated invariants...

13. Grouping and Invariants using Planar Homologies - Luc Van Gool,Marc Proesmans,Andrew Zisserman
Introduction Invariants are now a common tool in the computer vision community for model based recognition. Their use up to this point has generally been inter-image, either for matching between a geometric model of an object in a model library and an image, or matching shapes between images. However, scenes often contain structures that are geometrically related, and these relationships lead in turn to constraints or particular transformations within a single image - i.e. intra-image invariants. One class of these transformations, planar homologies, are the central theme of this paper. They arise when two planar shapes in the scene are related by a 3-D perspectivity. The practical importance...

14. A Discriminative Framework for Detecting Remote Protein Homologies - Tommi Jaakkola,Mark Diekhans,David Haussler
A new method for detecting remote protein homologies is introduced and shown to perform well in classifying protein domains by SCOP superfamily. The method is a variant of support vector machines using a new kernel function. The kernel function is derived from a generative statistical model for a protein family, in this case a hidden Markov model. This general approach of combining generative models like HMMs with discriminative methods such as support vector machines may have applications in other areas of biosequence analysis as well. 1

15. Combinatorial Koszul Homology: Computations and Applications = Homología de Koszul combinatoria: Cálculos y aplicaciones - Sáenz de Cabezón Irigaray, Eduardo
With a particular focus on explicit computations and applications of the Koszul homology and Betti numbers of monomial ideals, the main goals od this thesis are the following: Analyze the Koszul homology of monomial ideals and apply it to describe the structure of monomial ideals. Describe algorithms to perform efficient computations of the homological invariants of monomial ideals. Apply the theory and computations on monomial ideals to problems inside and outside mathematics. The thesis introduces as a main tool Mayer-Vietoris trees of monomial ideals.

16. Planar Homologies as a basis for Grouping and Recognition - Luc Van Gool,Marc Proesmans,Andrew Zisserman
The paper discusses a specific class of planar projective transformations, planar homologies, and illustrates their importance for geometry based grouping operations. Indeed, planar homologies keep to pop up in several areas of computer vision. Two examples are given in the paper: the analysis of planar shapes and their shadows and the detection of extruded shapes. The parameters that are needed to specify homologies are given, as well as their invariants. Since only 5 parameters are required, these invariants are simpler than general projective invariants. The work therefore further corroborates the existence of grouping-specific invariants. Support by Esprit BRA `VIVA' and Esprit LTR `IMPACT' is gratefully acknowledged. LVG and MP also gratefully...

17. Using the Fisher kernel method to detect remote protein homologies - Tommi Jaakkola,Mark Diekhans,David Haussler
A new method, called the Fisher kernel method, for detecting remote protein homologies is introduced and shown to perform well in classifying protein domains by SCOP superfamily. The method is a variant of support vector machines using a new kernel function. The kernel function is derived from a hidden Markov model. The general approach of combining generative models like HMMs with discriminative methods such as support vector machines may have applications in other areas of biosequence analysis as well.

18. Caract'eristique d'Euler - Homologie Cyclique P'eriodique,A. Bella Baci
We explain in cyclic homology setting, some results of Atiyah and Segal on orbifold Euler characteristic. For this, we give a new and direct proof for the Chern isomorphism between equivariant k-theory and periodic cyclic homology of crossed product by a finite group.

19. Homological Perturbation Theory And Computability Of Hochschild And Cyclic Homologies Of Cdgas - Alvarez V,Real P
. We establish an algorithm computing the homology of commutative dierential graded algebras (briey, CDGAs). The main tool in this approach is given by the Homological Perturbation Theory particularized for the algebra category (see [21]). Taking into account these results, we develop and rene some methods already known about the computation of the Hochschild and cyclic homologies of CDGAs. In the last section of the paper, we analyze the p-local homology of the iterated bar construction of a CDGA (p prime). 1. Introduction. The description of eÆcient algorithms of homological computation might be considered as a very important question in Homological Algebra, in order to use those processes...

20. Homology of Gaussian Groups - Homologie Des,Groupes Gaussiens,Patrick Dehornoy
We describe new combinatorial methods for constructing explicit free resolutions of Z by ZG-modules when G is a group of fractions of a monoid where enough least common multiples exist ("locally Gaussian monoid"), and, therefore, for computing the homology of G. Our constructions apply in particular to all Artin--Tits groups of finite Coxeter type. Technically, the proofs rely on the properties of least common multiples in a monoid.

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