Orbifold Euler characteristics for dual invertible polynomials

2011/07/27 by Ebeling, Wolfgang, Gusein-Zade, Sabir M.
#14J33 #32S55 #57R18 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1107.5542

Abstract

To construct mirror symmetric Landau-Ginzburg models, P.Berglund, T.Hübsch and M.Henningson considered a pair (f,G) consisting of an invertible polynomial f and an abelian group G of its symmetries together with a dual pair (\widetildef, \widetildeG). Here we study the reduced orbifold Euler characteristics of the Milnor fibres of f and \widetilde f with the actions of the groups G and \widetilde G respectively and show that they coincide up to a sign.

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