paper

Donaldson divisors and spectral invariants

arXiv:2405.03444

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.

38 pages

Donaldson divisors and spectral invariants · wovepaper