Bibliographic Details
| Title: |
Consistent orientation of moduli spaces |
| Authors: |
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman, For Nigel |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Superior Title: |
http://arxiv.org/pdf/0711.1909v2.pdf. |
| Publication Year: |
2007 |
| Collection: |
CiteSeerX |
| Description: |
We give an a priori construction of the two-dimensional reduction of three-dimensional quantum Chern-Simons theory. This reduction is a two-dimensional topological quantum field theory and so determines to a Frobenius ring, which here is the twisted equivariant K-theory of a compact Lie group. We construct the theory via correspondence diagrams of moduli spaces, which we “linearize ” using complex K-theory. A key point in the construction is to consistently orient these moduli spaces to define pushforwards; the consistent orientation induces twistings of complex K-theory. The Madsen-Tillmann spectra play a crucial role. In a series of papers [FHT1, FHT2, FHT3] we develop the relationship between positive energy representations of the loop group of a compact Lie group G and the twisted equivariant τ+dim G K-theory KG (G). Here G acts on itself by conjugation. The loop group representations depend on a choice of “level”, and the twisting τ is derived from the level. For all levels the main theorem is an isomorphism of abelian groups, and for special transgressed levels it is an isomor-τ+dim G |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.314.7823; http://arxiv.org/pdf/0711.1909v2.pdf |
| Availability: |
http://arxiv.org/pdf/0711.1909v2.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.24D6FC9E |
| Database: |
BASE |
