$\TT^2$-cobordism of Quasitoric 4-Manifolds

Soumen Sarkar

doi:10.2140/agt.2012.12.2003

$\TT^2$-cobordism of Quasitoric 4-Manifolds

Algebraic Topology 2012-11-07 v4

Authors: Soumen Sarkar

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Abstract

We show the $\TT^2$ -cobordism group of the category of 4-dimensional quasitoric manifolds is generated by the $\TT^2$ -cobordism classes of $\CP^2$ . We construct nice oriented $\TT^2$ manifolds with boundary where the boundary is the Hirzebruch surfaces. The main tool is the theory of quasitoric manifolds.

Keywords

TT^2-cobordism quasitoric manifold CP^2 Hirzebruch surface 4-manifold

Cite

@article{arxiv.1009.0342,
  title  = {$\TT^2$-cobordism of Quasitoric 4-Manifolds},
  author = {Soumen Sarkar},
  journal= {arXiv preprint arXiv:1009.0342},
  year   = {2012}
}

Comments

17 pages, 9 figures, many changes

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