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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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Official URL: http://dx.doi.org/10.1016/j.exmath.2009.09.002

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
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.ernet.in/id/eprint/31093

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