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- W2247647656 abstract "We describe the cohomology of the quotient Z_K/H of a moment-angle complex Z_K by a freely acting subtorus H in T^m by establishing a ring isomorphism of H*(Z_K/H,R) with an appropriate Tor-algebra of the face ring R[K], with coefficients in an arbitrary commutative ring R with unit. This result was stated in [BP02, 7.37] for a field R, but the argument was not sufficiently detailed in the case of nontrivial H and finite characteristic. We prove the collapse of the corresponding Eilenberg-Moore spectral sequence using the extended functoriality of Tor with respect to `strongly homotopy multiplicative' maps in the category DASH, following Munkholm [Mu74]. Our collapse result does not follow from the general results of Gugenheim-May and Munkholm." @default.
- W2247647656 created "2016-06-24" @default.
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- W2247647656 date "2015-06-23" @default.
- W2247647656 modified "2023-09-27" @default.
- W2247647656 title "On the cohomology of quotients of moment-angle complexes" @default.
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