Embedded surfaces and the structure of Donaldson's polynomial invariants
type: Item
instance of: scholarly article
title: Embedded surfaces and the structure of Donaldson's polynomial invariants
zbMATH Open document ID: 0842.57022
published in: Journal of Differential Geometry
publication date: 1996-07-16T00:00:00Z
review text: This paper shows how the smooth structure on a large class of 4-manifolds determines a collection of 2-dimensional cohomology classes. Various analogies with classes derived from the geometry of complex algebraic surfaces are noted. For example the classes constrain the genus of smoothly embedded 2-manifolds by an inequality analogous to the adjunction formula for algebraic surfaces; if the 4-manifold is an algebraic surface then the canonical class is often one of the basic classes.
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 32J15
zbMATH DE Number: 798924
zbMATH Keywords: smooth structure
zbMATH Keywords: 4-manifolds
zbMATH Keywords: complex algebraic surfaces
author: P. B. Kronheimer
author: T. S. Mrowka
reviewed by: David B. Gauld
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214456482
OpenAlex ID: W1569557141
Wikidata QID: Q115178493
DOI: 10.4310/JDG/1214456482
Recommended article: The Donaldson invariant and embedded 2-spheres.
Recommended article: Q4202165
Recommended article: Donaldson and Seiberg-Witten invariants of algebraic surfaces
Recommended article: On the Donaldson polynomials of elliptic surfaces
Recommended article: On Donaldson polynomials of rational ruled surfaces
Recommended article: Algebraic geometric interpretation of Donaldson's polynomial invariants
Recommended article: Q4039226
Recommended article: Donaldson's polynomials for \(K3\) surfaces
Recommended article: The Gromov invariant and the Donaldson-Smith standard surface count
Recommended article: Equivariant Floer theory and gluing Donaldson polynomials
description: scientific article; zbMATH DE number 798924