nLab
What is an elliptic object?

This entry records the article

• Stephan Stolz, Peter Teichner, What is an elliptic object? in Topology, geometry and quantum field theory , London Math. Soc. LNS 308, Cambridge Univ. Press (2004), 247-343. (pdf)

on geometric models for elliptic cohomology with speculations about the formalization of 2-dimensional CFT as an extended (2-functorial) FQFT.

In more recent developments the authors exchanged, for technical convenience, the conformal structure in favor of flat Riemannian structure in

• Stefan Stolz, Peter Teichner, Supersymmetric field theories and generalized cohomology , in Hisham Sati, Urs Schreiber, Mathematical Foundations of Quantum Field and Perturbative String Theory, Symposia in Pure Mathematics (2011) (arXiv:1108.0189)