Isotopy problem for symplectic forms in the presence of an anti-holomorphic involution

Abstract: Suppose we are given an algebraic surface equipped with an anti-holomorphic involution. From the symplectic viewpoint, a natural question to ask is: are there cohomologous anti-invariant symplectic forms on this manifold which are not isotopic within anti-invariant forms? And, if so, how many? During the talk, we will look at a particularly simple case of complex quadrics and do some explicit computations.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

Free Mathematics Seminar

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