Symplectic cohomology of quasihomogeneous $cA_n$ singularities

Nikolas Adaloglou; Federica Pasquotto; Aline Zanardini

Symplectic cohomology of quasihomogeneous $cA_n$ singularities

Symplectic Geometry 2024-07-12 v2 Algebraic Geometry Geometric Topology

Authors: Nikolas Adaloglou , Federica Pasquotto , Aline Zanardini

Abstract

We compute the symplectic cohomology of Milnor fibers of isolated quasihomogeneous cAn singularities . In addition, we use our computations to distinguish their links as contact manifolds and to provide further evidence to a conjecture of Evans and Lekili.

Keywords

symplectic cohomology Milnor fiber cA_n singularities contact manifolds quasihomogeneous Evans-Lekili conjecture

Cite

@article{arxiv.2404.17301,
  title  = {Symplectic cohomology of quasihomogeneous $cA_n$ singularities},
  author = {Nikolas Adaloglou and Federica Pasquotto and Aline Zanardini},
  journal= {arXiv preprint arXiv:2404.17301},
  year   = {2024}
}

Comments

43 pages. Comments are welcome! V2:Corrected statements of Theorems A,B,C. Added proof of refined version of Conjecture 1 (Theorem 4.16)

Symplectic cohomology of quasihomogeneous $cA_n$ singularities

Abstract

Keywords

Cite

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