Chennai Mathematical Institute


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.


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.