A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions: Volume: 294 Number: 1468 (Memoirs of the American Mathematical Society) - Softcover
Synopsis
Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = π*(R ? G+) is finitely generated and projective over π*(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 π*(X). Under mild hypotheses, such as X being bounded below and the derived page RE∞ vanishing, this spectral sequence converges strongly to the homotopy π*(XtG) of the G-Tate construction XtG = [EG ? F(EG+, X]G.
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About the Author
Alice Hedenlund, University of Oslo, Norway.
John Rognes, University of Oslo, Norway.
"About this title" may belong to another edition of this title.
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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions
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Paperback. Condition: New. 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. Seller Inventory # LU-9781470468781
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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions: Volume: 294 Number: 1468 (Memoirs of the American Mathematical Society)
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Paperback. Condition: new. Paperback. Given a compact Lie group G and a commutative orthogonal ring spectrum R such that R[G]* = p*(R ? G+) is finitely generated and projective over p*(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 p*(X). Under mild hypotheses, such as X being bounded below and the derived page RE vanishing, this spectral sequence converges strongly to the homotopy p*(XtG) of the G-Tate construction XtG = [EG ? F(EG+, X]G. 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 p*(X). Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781470468781
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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions
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A Multiplicative Tate Spectral Sequence for Compact Lie Group Actions
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American Mathematical Society, US, 2024
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ISBN 13: 9781470468781
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Paperback. Condition: New. 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. Seller Inventory # LU-9781470468781
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