English

Orbifold Milnor lattice and orbifold intersection form

Algebraic Geometry 2017-06-08 v3

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.

Keywords

Cite

@article{arxiv.1607.08740,
  title  = {Orbifold Milnor lattice and orbifold intersection form},
  author = {Wolfgang Ebeling and Sabir M. Gusein-Zade},
  journal= {arXiv preprint arXiv:1607.08740},
  year   = {2017}
}

Comments

21 pages, to appear in manuscripta mathematica

R2 v1 2026-06-22T15:07:34.841Z