Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = *(R ? G+) is finitely generated and projective over *(R), we construct a multiplicative G-Tate spectral sequence for each R-module X in orthogonal G-spectra, with E2-page given by the Hopf algebra Tate cohomology of R[G]* with coefficients in *(X). Under mild hypotheses, such as X being bounded below and the derived page RE vanishing, this spectral sequence converges strongly to the homotopy *(XtG) of the G-Tate construction XtG = [EG ...
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Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = *(R ? G+) is finitely generated and projective over *(R), we construct a multiplicative G-Tate spectral sequence for each R-module X in orthogonal G-spectra, with E2-page given by the Hopf algebra Tate cohomology of R[G]* with coefficients in *(X). Under mild hypotheses, such as X being bounded below and the derived page RE vanishing, this spectral sequence converges strongly to the homotopy *(XtG) of the G-Tate construction XtG = [EG ? F(EG+, X]G.
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Add this copy of A Multiplicative Tate Spectral Sequence for Compact Lie to cart. $122.47, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2024 by American Mathematical Society.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Memoirs of the American Mathematical Society . Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.