English

Donaldson divisors and spectral invariants

Symplectic Geometry 2024-05-07 v1

Abstract

We establish a comparison between spectral invariants for a symplectic manifold and a Donaldson divisor therein, and answer a question of Borman from 2012 on the reduction of Entov--Polterovich quasimorphisms, under a reasonable assumption. The method involves a quantitative interpretation of Biran--Khanevsky's quantum Gysin sequence.

Keywords

Cite

@article{arxiv.2405.03444,
  title  = {Donaldson divisors and spectral invariants},
  author = {Yusuke Kawamoto},
  journal= {arXiv preprint arXiv:2405.03444},
  year   = {2024}
}

Comments

38 pages

R2 v1 2026-06-28T16:18:02.250Z