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2017 A simple construction of taut submanifolds
Dishant Pancholi
Algebr. Geom. Topol. 17(1): 17-24 (2017). DOI: 10.2140/agt.2017.17.17

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.

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Dishant Pancholi. "A simple construction of taut submanifolds." Algebr. Geom. Topol. 17 (1) 17 - 24, 2017. https://doi.org/10.2140/agt.2017.17.17

Information

Received: 7 July 2014; Revised: 7 June 2016; Accepted: 18 June 2016; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1357.53095
MathSciNet: MR3604371
Digital Object Identifier: 10.2140/agt.2017.17.17

Subjects:
Primary: 53D15
Secondary: 53D05, 57R17

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 1 • 2017
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