Conjugations on 6-manifolds with free integral cohomology

Details Conjugations on 6-manifolds with free integral cohomology Conjugations on 6-manifolds with free integral cohomology

2010-01-06

arxiv.org/abs/1001.0911v1

Mathematics

Geometric Topology

23 pages

Scientific paper

In this article, we show the existence of conjugations on many
simply-connected spin 6-manifolds with free integral cohomology. In a certain
class the only condition on X^6 to admit a conjugation with fixed point set M^3
is the obvious one: the existence of a degree-halving ring isomorphism between
the Z_2-cohomologies of X and M.

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