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McKay correspondence for Landau-Ginzburg models. (English) Zbl 1169.14011

Summary: We prove an analogue of the McKay correspondence for Landau-Ginzburg models. Our proof is based on the ideas introduced by T. Bridgeland, A. King and M. Reid [J. Am. Math. Soc. 14, No. 3, 535–554 (2001; Zbl 0966.14028)], which reformulate and generalize the McKay correspondence in the language of derived categories, along with the techniques introduced by J.-C. Chen [J. Differ. Geom. 61, No. 2, 227–261 (2002; Zbl 1090.14003)].

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14E05 Rational and birational maps
81T99 Quantum field theory; related classical field theories
18E30 Derived categories, triangulated categories (MSC2010)
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