Conjugation spaces are cohomologically pure
| Autor: | Jérôme Scherer, Wolfgang Pitsch, Nicolas Ricka |
|---|---|
| Předmět: |
Graded vector space
Ring (mathematics) Pure mathematics 55P91 55N91 55S10 55P42 Complex conjugate General Mathematics Homotopy 010102 general mathematics Characterization (mathematics) Fixed point 01 natural sciences Cohomology 010305 fluids & plasmas 0103 physical sciences FOS: Mathematics Equivariant map Algebraic Topology (math.AT) Mathematics - Algebraic Topology 0101 mathematics Mathematics |
| Zdroj: | Proceedings of the London Mathematical Society |
| Popis: | Conjugation spaces are equipped with an involution such that the fixed points have the same mod 2 cohomology (as a graded vector space, a ring, and even an unstable algebra) but with all degrees divided by 2, generalizing the classical examples of complex projective spaces under complex conjugation. Using tools from stable equivariant homotopy theory we provide a characterization of conjugation spaces in terms of purity. This conceptual viewpoint, compared to the more computational original definition, allows us to recover all known structural properties of conjugation spaces. 39 pages. This version corrected some misprints and a few misleading proofs |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|