On equivariant topological modular forms
arXiv:2004.10254
Abstract
Following ideas of Lurie, we give in this article a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain in particular equivariant spectra of topological modular forms. We compute the fixed points of these spectra for the circle group and more generally for tori.
55 pages, comments welcome; v2: typos corrected, references added; v3: revision in response to referee's comments: partially rewritten Sections 2 and 3, added Section 4 and Appendix D, various other edits; v4: corrected typos, final version, to appear in Compositio Mathematica