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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
T2-cobordism of quasitoric 4–manifolds

Soumen Sarkar

Algebraic & Geometric Topology 12 (2012) 2003–2025
Abstract

We show the T2–cobordism group of the category of 4–dimensional quasitoric manifolds is generated by the T2–cobordism classes of 2. We construct nice oriented T2 manifolds with boundary whose boundaries are the Hirzebruch surfaces. The main tool is the theory of quasitoric manifolds.

Keywords
torus action, quasitoric manifold, cobordism group
Mathematical Subject Classification 2010
Primary: 55N22
Secondary: 57R90
References
Publication
Received: 11 May 2011
Revised: 2 April 2012
Accepted: 28 June 2012
Published: 28 October 2012
Authors
Soumen Sarkar
Department of Mathematical Sciences
Korea Advanced Institute of Science and Technology
373-1 Guseong-dong, Yuseong-gu
Daejeon-305701
Republic of Korea
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