An introduction to quantum sheaf cohomology

by Eric Sharpe (Virginia Tech.)

Tuesday 8 Jun 2010, 14:00 → 15:00 Europe/Zurich

TH Theory Conference Room (CERN)

In this talk we shall review progress towards `(0,2) mirror symmetry,' a heterotic generalization of mirror symmetry, focusing on`quantum sheaf cohomology.' (0,2) mirror symmetry is a heterotic generalization of mirror symmetry, in which spaces together with holomorphic vector bundles are exchanged. Within the last few years there has been some significant progress towards understanding (0,2) mirrors, ranging from the development of a heterotic analogue of quantum cohomology to, very recently, the development of a heterotic version of a monomial-divisor mirror map for tangent bundle deformations. Our talk will primarily focus on the heterotic generalization of quantum cohomology, known as quantum sheaf cohomology.