BRANCHED SHADOWS AND COMPLEX STRUCTURES ON 4-MANIFOLDS-Reference-Cited by-同舟云学术

BRANCHED SHADOWS AND COMPLEX STRUCTURES ON 4-MANIFOLDS

Published:2008-11 Issue:11 Volume:17 Page:1429-1454
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

COSTANTINO FRANCESCO¹

Affiliation:

1. Institut de Recherche Mathématique Avancée, 7, Rue René Descartes, 67084 Strasbourg Cedex, France

Abstract

We define and study branched shadows of 4-manifolds as a combination of branched spines of 3-manifolds and of Turaev's shadows. We use these objects to combinatorially represent 4-manifolds equipped with Spinc-structures and homotopy classes of almost complex structures. We then use branched shadows to study complex 4-manifolds and prove that each almost complex structure on a 4-dimensional handlebody is homotopic to a complex one.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216508006683

Reference23 articles.

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