Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Kaiwen Sun
Affiliation:

MPIM
Date:

Tue, 2020-07-14 14:00 - 15:00 Blowup equations as the functional equations for the Nekrasov partition function of 4-dimensional gauge theory was proposed by Nakajima-Yoshioka in 2003. Certain K-theoretic versions were soon later found by GĂ¶ttsche, Nakajima and Yoshioka. I will talk about two further generalizations found in recent three years, an elliptic version from the viewpoint of gauge theory and a most general version from the viewpoint of topological string theory on local Calabi-Yau threefolds. These equations can be used to solve the elliptic genera of certain 6d gauge theories and the refined BPS invariants of local Calabi-Yau.

https://bbb.mpim-bonn.mpg.de/b/gae-a7y-hhd

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/5312