Kavli Affiliate: Mikhail Kapranov
| First 5 Authors: Mikhail Kapranov, Mikhail Kapranov, , ,
| Summary:
This survey paper, based on a talk at the International Congress of Basic
Science in Beijing in July 2025, summarizes joint work of the authors with M.
Kontsevich [1408.2673] establishing the relation between the “Algebra of the
Infrared" of D. Gaiotto, G. Moore and E. Witten [1506.04087] and the theory of
secondary polytopes introduced in the 1990s in the study of higher-dimensional
discriminants.
It also summarizes subsequent work with L. Soukhanov [2011.00845] where the
tunneling data were observed to be similar to linear algebra data describing
perverse sheaves on the complex plane except that in the physical context
vector spaces are replaced by triangulated categories. The relevant concept
here is that of perverse schobers, which are conjectural categorical analogs of
perverse sheaves proposed by M. Kapranov and V. Schechtman [1411.2772].
Finally, we sketch a research program of extending these ideas to
$4$-dimensional theories and the resurgence formalism.
| Search Query: ArXiv Query: search_query=au:”Mikhail Kapranov”&id_list=&start=0&max_results=3