nLab elliptic Chern character

Idea

A higher chromatic Chern character from elliptic cohomology/tmf with values in Laurent series with coefficients in K-theory (Tate K-theory).

Related concepts

• Witten genus

• Tate K-theory

References

In the context of the Witten genus the elliptic Chern character was introduced in

• Haynes Miller, The elliptic character and the Witten genus, in: Mark Mahowald, Stewart Priddy (eds.), Algebraic topology (Evanston, IL, 1988), Contemp. Math. 96, Amer. Math. Soc., Providence, RI (1989) 281–289 (pdf, doi:10.1090/conm/096)

Discussion in the context of equivariant elliptic cohomology is in

• Nora Ganter, section 3.2 of The elliptic Weyl character formula (arXiv:1206.0528)

based on

• Ioanid Rosu, Allen Knutson, Equivariant K-theory and Equivariant Cohomology, Mathematische Zeitschrift 243 (2003), 423-448 (arXiv:math/9912088)