Orbifold Euler characteristics for dual invertible polynomials

Wolfgang Ebeling; Sabir M. Gusein-Zade

Orbifold Euler characteristics for dual invertible polynomials

Algebraic Geometry 2011-07-28 v1 Geometric Topology

Authors: Wolfgang Ebeling , Sabir M. Gusein-Zade

Abstract

To construct mirror symmetric Landau-Ginzburg models, P.Berglund, T.H\"ubsch 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 $(\widetilde{f}, \widetilde{G})$ . 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.

Keywords

euler characteristic mirror symmetry

Cite

@article{arxiv.1107.5542,
  title  = {Orbifold Euler characteristics for dual invertible polynomials},
  author = {Wolfgang Ebeling and Sabir M. Gusein-Zade},
  journal= {arXiv preprint arXiv:1107.5542},
  year   = {2011}
}

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