Donaldson divisors and spectral invariants
Yusuke Kawamoto
TL;DR
This paper explores the relationship between spectral invariants and Donaldson divisors in symplectic manifolds, providing new insights into quasimorphisms and utilizing a quantum Gysin sequence for analysis.
Contribution
It introduces a comparison framework for spectral invariants relative to Donaldson divisors and addresses a question on Entov-Polterovich quasimorphisms.
Findings
Established a comparison between spectral invariants and Donaldson divisors.
Provided an answer to Borman's 2012 question on quasimorphisms.
Utilized quantum Gysin sequence for quantitative analysis.
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models