Oriented Cobordism of Real and Complex Projective Spaces

Details Oriented Cobordism of Real and Complex Projective Spaces Oriented Cobordism of Real and Complex Projective Spaces

2010-07-29

arxiv.org/abs/1007.5105v3

Mathematics

Algebraic Topology

12 pages, 5 figures

Scientific paper

It is known that the oriented cobordism class of $\CC P^{2k-1}$ and $ \RR
P^{2k+1}$ are zero for each $k > 0$. We construct oriented manifolds having the
boundary either $\CC P^{2k-1}$ or $ \RR P^{4k+1}$ for each $k > 0$. The
construction is different from the previous one. The main tool is the theory of
quasitoric manifolds and small covers.

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