Rational S^1-equivariant elliptic cohomology
| dc.creator | Greenlees, J. P. C. | |
| dc.date | 2005-04-21 | |
| dc.date.accessioned | 2026-07-07T05:19:18Z | |
| dc.date.available | 2026-07-07T05:19:18Z | |
| dc.description | For each elliptic curve A over the rational numbers we construct a 2-periodic S^1-equivariant cohomology theory E whose cohomology ring is the sheaf cohomology of A; the homology of the sphere of the representation z^n is the cohomology of the divisor A(n) of points with order dividing n. The construction proceeds by using the algebraic models of the author's AMS Memoir ``Rational S^1 equivariant homotopy theory.'' and is natural and explicit in terms of sheaves of functions on A. This is Version 5.2 of a paper of long genesis (this should be the final version). The following additional topics were first added in the Fourth Edition: (a) periodicity and differentials treated (b) dependence on coordinate (c) relationship with Grojnowksi's construction and, most importantly, (d) equivalence between a derived category of O_A-modules and a derived category of EA-modules. The Fifth Edition included (e) the Hasse square and (f) explanation of how to calculate maps of EA-module spectra. | |
| dc.description | 62 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0504432 | |
| dc.identifier | http://arxiv.org/abs/math/0504432 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74972 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N34, 55N91 (Primary) 14H52 (Secondary) | |
| dc.title | Rational S^1-equivariant elliptic cohomology | |
| dc.type | text |