Volume 17, issue 1 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
A simple construction of taut submanifolds

Dishant M Pancholi

Algebraic & Geometric Topology 17 (2017) 17–24
Abstract

We show that any integral second cohomology class of a closed manifold Xn, n 4, admits, as a Poincaré dual, a submanifold N such that X N has a handle decomposition with no handles of index bigger than (n + 1)2. In particular, if X is an almost complex manifold of dimension at least 6, the complement can be given a structure of a Stein manifold.

Keywords
taut submanifolds, almost complex manifolds, symplectic manifolds, almost symplectic manifolds, Stein manifolds
Mathematical Subject Classification 2010
Primary: 53D15
Secondary: 57R17, 53D05
References
Publication
Received: 7 July 2014
Revised: 7 June 2016
Accepted: 18 June 2016
Published: 26 January 2017
Authors
Dishant M Pancholi
Chennai Mathematical Institute
H1 SIPCOT IT Park
Siruseri
Kelambakkam, Chennai 600130
India