Algebraic properties of quantum homology

Algebraic properties of quantum homology

-
Yaron Ostrover, MIT
Fine Hall 314

In this talk we discuss certain algebraic properties of the quantum homology algebra of toric Fano manifolds. In particular, we describe an easily-verified sufficient condition for the semi-simplicity of the quantum homology. Moreover, we provide some examples of monotone toric Fano manifolds for which the quantum homology is not semi-simple.This is joint work with Ilya Tyomkin.