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Title:
Categorified Wall-Crossing With Twisted Masses
Speaker:
Abstract:
The talk will discuss "categorification," or more accurately, "braneification" of wall-crossing formulae (wcf). We review the general statement of the 2d4d wcf. Then we review and refine the Cecott-Vafa wcf in 2d Landau-Ginzburg models. We further refine it in the context of the A-infinity category of interfaces using ``S-wall interfaces'' for "S-wall-crossing."' Finally, we discuss the effect of twisted masses, which lead to some novel new phenomena, including K-wall interfaces, closely related to Koszul duality of algebras. Most of the talk is a review of work done with D. Gaiotto and E. Witten pre-2015. Some of the material presented
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