Work

The sigma orientation is an H-infinity map

Year: 2002

Type: preprint

Abstract: In "Elliptic spectra, the Witten genus, and the Theorem of the cube" (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum MU<6> to any elliptic spectrum, called the "sigma orientation". MU<6> is an H-infinity ring spectrum, and in this paper we show that if E is a K(2)-local H-infinity elliptic spectrum, then the sigma orientation is a map of H-infinity spectra.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0204053

Authors: Ando, Matthew, Hopkins, Michael J., Strickland, Neil P.

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2953354420

Cites: 14

Cited by:

Related to: 10