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Penka Georgieva: Lectures

01/09/2020: Real Gromov-Witten theory

January 9, 2020
TITLE: Real Gromov-Witten theory

ABSTRACT: For a symplectic manifold with an anti-symplectic involution one can consider J-holomorphic maps invariant under the involution. These maps give rise to real Gromov-Witten invariants and are related to real enumerative geometry in the same spirit as their more classical counterparts; in physics they are related to orientifold theories. In this talk I will give an overview of the developments in real Gromov-Witten theory and discuss some properties of the invariants.