Author:
Pitsch Wolfgang,Scherer Jérôme
Abstract
AbstractConjugation spaces are topological spaces equipped with an involution such that their 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 two, generalizing the classical examples of complex projective spaces under complex conjugation. Spaces which are constructed from unit balls in complex Euclidean spaces are called spherical and are very well understood. Our aim is twofold. We construct ‘exotic’ conjugation spaces and study the realization question: which spaces can be realized as real loci, i.e., fixed points of conjugation spaces. We identify obstructions and provide examples of spaces and manifolds which cannot be realized as such.
Publisher
Cambridge University Press (CUP)
Reference27 articles.
1. Pitsch, W. , Ricka, N. and Scherer, J. . Conjugation spaces are cohomologically pure. ArXiv e-prints, available at https://arxiv.org/abs/1908.03088.
2. Shrinking Cell-Like Decompositions of Manifolds. Codimension Three
3. Some homotopy groups of the mod 4 Moore space;Mukai;J. Fac. Sci. Shinshu Univ.,1999
4. On Quaternions and Their Generalization and the History of the Eight Square Theorem
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Conjugation spaces are cohomologically pure;Proceedings of the London Mathematical Society;2021-02