Open manifolds, Ozsvath-Szabo invariants and exotic R-4 ` S

Gadgil, Siddhartha (2010) Open manifolds, Ozsvath-Szabo invariants and exotic R-4 ` S. In: Expositiones Mathematicae, 28 (3). pp. 254-261.

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Abstract

We construct an invariant of certain open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R-4 for which the invariant is non-trivial,showing that X is an exotic R-4. This is the first invariant that detects exotic R-4' s. (C) 2009 Published by Elsevier GmbH.

Item Type:	Journal Article
Publication:	Expositiones Mathematicae
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	02 Aug 2010 09:00
Last Modified:	19 Sep 2010 06:13
URI:	http://eprints.iisc.ac.in/id/eprint/31093

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