Orbifold Milnor lattice and orbifold intersection form

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Abstract

For a germ of a quasihomogeneous function with an isolated critical point at the origin invariant with respect to an appropriate action of a finite abelian group, H. Fan, T. Jarvis, and Y. Ruan defined the so-called quantum cohomology group. It is considered as the main object of the quantum singularity theory (FJRW-theory). We define orbifold versions of the monodromy operator on the quantum (co)homology group, of the Milnor lattice, of the Seifert form and of the intersection form. We also describe some symmetry properties of invariants of invertible polynomials refining the known ones.

Mathematics Subject Classification

14R20 57R18 32S05 58K65 58K70 

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© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Institut für Algebraische GeometrieLeibniz Universität HannoverHannoverGermany
  2. 2.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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