***
## Background

## Introductions

## Superalgebra

## Supergeometry

## Supersymmetry

## Supersymmetric field theory

## Applications

**superalgebra** and (synthetic ) **supergeometry**

This is a sub-entry of geometric models for elliptic cohomology and A Survey of Elliptic Cohomology

See there for background and context.

This entry here is about the fact and its derivation that the partition function of a (2,1)-dimensional Euclidean field theories is a modular form.

Previous:

As described at (2,1)-dimensional Euclidean field theories and tmf, the idea is that (2,1)-dimensional Euclidean field theories are a geometric model for tmf cohomology theory.

While there is no complete proof of this so far, here we discuss the construction and proof – due to Stephan Stolz and Peter Teichner – for the situation over the point: the partition function of a $(2|1)$-dimensional EFT is a modular form. Hence $(2|1)$-dimensional EFTs do yield the correct cohomology ring of tmf over the point.

…

…

…

…

Created on September 24, 2009 at 15:17:55. See the history of this page for a list of all contributions to it.