ABSTRACT: Talk is based on the joint work with Okounkov and Pandharipande. In my talk I will state conjectural Virasoro constraints for PT theory. For toric varieties the stationary version of the constraint is derived from the Gromov-Witten constraints. I will explain the GW/PT correspondence that relates the constraints.
ABSTRACT: For a closed surface of genus 1 and 2 the q-skein algebra (of type A1) admits a description in terms of 1 resp. 3 commuting difference operators acting on commutative polynomials in 1 resp. 3 variables. This endows it with a stucture of a completely integrable quantum mechanical system. We argue that in higher genus analogous description exists, involving … Read More
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
ABSTRACT: Elliptic cohomology has always been a natural big brother to ordinary cohomology and K-theory. However, in contrast to the plethora of geometric objects that provide representatives for cohomology and K-theory classes, we do not know any geometric objects that provide representatives for elliptic cohomology. I will explain in this talk a step forward for the case of equivariant elliptic … Read More
ABSTRACT: For a two-periodic complex of vector bundles, Polishchuk and Vaintrob have constructed its localized Chern character. This is a generalization of the usual one. We explore some basic properties of this localized Chern character. In particular, we show that the cosection localization defined by Kiem and Li is equivalent to a localized Chern character operation for the associated two-periodic … Read More