Lecture Announcement Date: Wednesday, July 27, 2022 Time: 3:30 PM Venue: Lecture Hall 6 Extending Taubes' Gromov invariant to Calabi-Yau 3-folds Mohan Swaminathan Stanford University. 27-07-22 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.
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