Multiplicative Tate Spectral Sequence for Compact Lie Group Actions
Heftet /
2024
/ Engelsk
Produktdetaljer
ISBN
9781470468781
Publisert
2024-05-31
Utgiver
Vendor
American Mathematical Society
Vekt
118 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
134
Forfatter
Biographical note
Alice Hedenlund, University of Oslo, Norway.John Rognes, University of Oslo, Norway.
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.
Les mer
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).
1. Introduction 2. Tate Cohomology for Hopf Algebras 3. Homotopy Groups of Orthogonal $G$-Spectra 4. Sequences of Spectra and Spectral Sequences 5. The $G$-Homotopy Fixed Point Spectral Sequence 6. The $G$-Tate Spectral Sequence
Les mer
Produktdetaljer
ISBN
9781470468781
Publisert
2024-05-31
Utgiver
Vendor
American Mathematical Society
Vekt
118 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
134
Forfatter
Biographical note
Alice Hedenlund, University of Oslo, Norway.John Rognes, University of Oslo, Norway.