\(L^2\)-cohomology for affine spaces and an application to monads

DOI10.1216/rmj.2020.50.1599zbMath1451.14126OpenAlexW3097108988MaRDI QIDQ2211930

Georg Schumacher, Nicholas P. Buchdahl

Publication date: 17 November 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1604545219

zbMATH Keywords

instantonsaffine spacesvector bundles on surfaces\(L^2\)-cohomologyWeil-Petersson geometry

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Families, moduli of curves (algebraic) (14H10) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Families, moduli, classification: algebraic theory (14J10) Fine and coarse moduli spaces (14D22)

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An analytic application of Geometric Invariant Theory. II: Coarse moduli spaces, An analytic application of Geometric Invariant Theory

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