Orbifold Milnor lattice and orbifold intersection form

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Research Organisations

External Research Organisations

  • Lomonosov Moscow State University
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Details

Original languageEnglish
Pages (from-to)335-353
Number of pages19
JournalManuscripta mathematica
Volume155
Issue number3-4
Early online date9 Jun 2017
Publication statusPublished - Mar 2018

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

    14R20, 32S05, 57R18, 58K65, 58K70

ASJC Scopus subject areas

Cite this

Orbifold Milnor lattice and orbifold intersection form. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
In: Manuscripta mathematica, Vol. 155, No. 3-4, 03.2018, p. 335-353.

Research output: Contribution to journal › Article › Research › peer review

Ebeling W, Gusein-Zade SM. Orbifold Milnor lattice and orbifold intersection form. Manuscripta mathematica. 2018 Mar;155(3-4):335-353. Epub 2017 Jun 9. doi: 10.48550/arXiv.1607.08740, 10.1007/s00229-017-0945-4
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / Orbifold Milnor lattice and orbifold intersection form. In: Manuscripta mathematica. 2018 ; Vol. 155, No. 3-4. pp. 335-353.
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