Abstract
AbstractWe show that the$\mathbb{Z}$/2-equivariantnth integral MoravaK-theory with reality is self-dual with respect to equivariant Anderson duality. In particular, there is a universal coefficients exact sequence in integral Morava K-theory with reality, and we recover the self-duality of the spectrumKOas a corollary. The study of$\mathbb{Z}$/2-equivariant Anderson duality made in this paper gives a nice interpretation of some symmetries ofRO($\mathbb{Z}$/2)-graded (i.e. bigraded) equivariant cohomology groups in terms of Mackey functor duality.
Publisher
Cambridge University Press (CUP)
Reference14 articles.
1. M. A. Hill , M. J. Hopkins and D. C. Ravenel , On the non-existence of elements of Kervaire invariant one, ArXiv e-prints, May 2015.
2. Universal coefficient theorems for generalized homology and stable cohomotopy
3. Change of universe functors in equivariant stable homotopy theory;Gaunce Lewis;Fund. Math.,1995
4. The structure of Mackey functors
5. D. Heard and V. Stojanoska , K-theory, reality, and duality, ArXiv e-prints, May 2014.
Cited by
4 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