Alladi Ramakrishnan Hall

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

Mohan Swaminathan

Princeton 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.

Please note the change in date and time. Tea/Snacks will be arranged before the talk.