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Geometry & Topology Seminar

Title: Extending Taubes' Gromov invariant to Calabi--Yau 3-folds
Speaker: Mohan Swaminathan (Princeton/Stanford)
Date: 30 June 2022
Time: 4:00 pm
Venue: Microsoft Teams (online)

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.


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 09 Dec 2022