| Speaker: |
Andrea Brini (University of Sheffield) |
| Title: |
Refined Gromov-Witten invariants |
| Date (JST): |
Tue, Oct 07, 2025, 11:30 - 12:30 |
| Place: |
Lecture Hall |
| Abstract: |
I will discuss a definition of refined curve counting invariants of Calabi-Yau threefolds with a C*-action in terms of stable maps on Calabi-Yau fivefolds. The corresponding disconnected generating function should conjecturally equate the Nekrasov-Okounkov K-theoretic membrane index under a refined version of the Gromov-Witten/Pandharipande-Thomas correspondence. I'll present several acid tests validating the conjecture, both in the A and the B-model. This is based on joint work with Yannik Schuler (ETH Zurich), arXiv:2410.00118.
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