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

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

2010-09-02

arxiv.org/abs/1009.0342v3

Mathematics

Algebraic Topology

15 pages, 10 figures, many changes

Scientific paper

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 compute a basis of this group. The main tool is the theory of quasitoric
manifolds.

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