School of Mathematics Seminars and Lectures

Extending Taubes' Gromov invariant to Calabi-Yau 3-folds

by Prof. Mohan Swaminathan (Princeton University)

Wednesday, July 6, 2022 from to (Asia/Kolkata)
at Math. Seminar Room (A-369) as well as Via Zoom
Description
Abstract: I will describe the construction of an integer-valued symplectic invariant counting embedded pseudo-holomorphic curves in a Calabi-Yau 3-fold in certain cases. This may be seen as an analogue of the Gromov invariant defined by Taubes for symplectic 4-manifolds. The construction depends on a detailed bifurcation analysis of the moduli space of embedded curves along generic paths of almost complex structures. This is based on joint work with Shaoyun Bai.