## Recursos de colección

1. #### Virasoro actions and harmonic maps (after Schwarz)

Vajiac, Mihaela; Uhlenbeck, Karen
The actions of a half Virasoro algebra have appeared in many integrable systems. In this paper we show that there is an action of a (Half) Virasoro algebra on the space of (2+0) harmonic maps into a Lie group. This action is generated by a natural action on the frames. A similar calculation on the space-time (1+1) harmonic maps yields formulas generated by John Schwarz.

2. #### Regularization of currents with mass control and singular Morse inequalities

Popovici, Dan

3. #### Motivic and quantum invariance under stratified Mukai flops

Fu, Baohua; Wang, Chin-Lung

4. #### Analytic torsion for Calabi-Yau threefolds

Fang, Hao; Lu, Zhiqin; Yoshikawa, Ken-Ichi
After Bershadsky-Cecotti-Ooguri-Vafa, we introduce an invariant of Calabi-Yau threefolds, which we call the BCOV invariant and which we obtain using analytic torsion. We give an explicit formula for the BCOV invariant as a function on the compactified moduli space, when it is isomorphic to a projective line. As a corollary, we prove the formula for the BCOV invariant of quintic mirror threefolds conjectured by Bershadsky-Cecotti-Ooguri-Vafa.

5. #### A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2

Wickramasekera, N.

6. #### Pions and generalized cohomology

Freed, D. S.
The Wess-Zumino-Witten term was first introduced in the low energy σ-model which describes pions, the Goldstone bosons for the broken flavor symmetry in quantum chromodynamics. We introduce a new definition of this term in arbitrary gravitational backgrounds. It matches several features of the fundamental gauge theory, including the presence of fermionic states and the anomaly of the flavor symmetry. To achieve this matching, we use a certain generalized differential cohomology theory. We also prove a formula for the determinant line bundle of special families of Dirac operators on 4-manifolds in terms of this cohomology theory. One consequence is that there are no global anomalies in the Standard Model (in arbitrary gravitational...

7. #### SubRiemannian geometry, a variational approach

Calin, O.; Chang, D.-C.
The paper deals with a variational approach of the subRiemannian geometry from the point of view of Hamilton-Jacobi and Hamiltonian formalism. We present a discussion of geodesics from the point of view of both formalisms, and prove that the normal geodesics are locally length-minimizing horizontal curves.

Brendle, S.

9. #### Some new Riemannian invariants

Croke, Christopher B.

10. #### On the lower bound for the injectivity radius of $1/4$-pinched Riemannian manifolds

Cheeger, Jeff; Gromoll, Detlef

11. #### The Laplacian and the Kohn Laplacian for the sphere

Geller, Daryl

12. #### Sub-Cartesian spaces

Aronszajn, N.; Szeptycki, P.

Ku, Hsü Tung

14. #### Abstract Weingarten surfaces

Milnor, Tilla Klotz

Tong Van Duc

Kumpera, A.

17. #### The $\rm{SU}(3)$ Casson invariant for integral homology 3-spheres

Boden, Hans U.; Herald, Christopher M.

18. #### On the topology of birational minimal models

Wang, Chin-Lung

19. #### The finiteness of the mapping class group for atoroidal 3-manifolds with genuine laminations

Gabai, David; Kazez, William H.

20. #### Vanishing theorems on complete Kähler manifolds and their applications

Ni, Lei

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