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SUMMARY:Heeyeon Kim (Rutgers University)
DTSTART:20220509T190000Z
DTEND:20220509T200000Z
DTSTAMP:20260423T035820Z
UID:WHCGP/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/48/">P
 ath integral derivations of K-theoretic Donaldson invariants</a>\nby Heeye
 on Kim (Rutgers University) as part of Western Hemisphere colloquium on ge
 ometry and physics\n\n\nAbstract\nWe discuss path integral derivations of 
 topologically twisted partition functions of 5d SU(2) supersymmetric Yang-
 Mills theory on M4 x S1\, where M4 is a smooth closed four-manifold. Mathe
 matically\, they can be identified with the K-theoretic version of the Don
 aldson invariants. In particular\, we provide two different path integral 
 derivations of their wall-crossing formula for b_2^+(M4)=1\, first in the 
 so-called U-plane integral approach\, and in the perspective of instanton 
 counting. We briefly discuss the generalization to b_2^+(M4)>1.\n
LOCATION:https://researchseminars.org/talk/WHCGP/48/
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