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arXiv · 1007.5105

Orientability and equivariant oriented cobordism of 2-torus manifolds

Soumen Sarkar
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Abstract

We give a necessary and sufficient condition for the orientability of a locally standard 2-torus manifold with a fixed point which generalizes previous results of Nakayama-Nishimura in 2005 and Soprunova-Sottile in 2013. We construct manifolds with boundary where the boundary is a disjoint union of locally standard 2-torus manifolds. We discuss equivariant oriented cobordism class of locally standard 2-torus manifolds.

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Soumen Sarkar. 2010-07-29. Orientability and equivariant oriented cobordism of 2-torus manifolds. https://arxiv.org/abs/1007.5105

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