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Homotopy theory, homological algebra, algebraic treatments of manifolds.

3 votes
0 answers
159 views

Which manifolds admit free involutions?

The question of which manifolds admit a free involution seems natural enough, yet I couldn't find much about it online. It's not hard to see that such a manifold must be a boundary, but as pointed out …
Pedro's user avatar
  • 279
7 votes
0 answers
643 views

de Rham cohomology with twisted coefficients and group cohomology

I'm trying to follow Goldman's paper 'The symplectic nature of fundamental groups of surfaces'. I'm having trouble understanding the following isomorphism: let's take a principal $G$-bundle $P \to M$ …
Pedro's user avatar
  • 279