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• CommentRowNumber1.
• CommentAuthorKevin Lin
• CommentTimeJun 25th 2010
Added a page on matrix factorizations.
• CommentRowNumber2.
• CommentAuthorzskoda
• CommentTimeSep 22nd 2010

I have reorganized the pages and put several references.

• CommentRowNumber3.
• CommentAuthorzskoda
• CommentTimeSep 23rd 2014
• (edited Sep 23rd 2014)

We identify the category of integrable lowest-weight representations of the loop group LG of a compact Lie group G with the linear category of twisted, conjugation-equivariant curved Fredholm complexes on the group G: namely, the twisted, equivariant matrix factorizations of a super-potential built from the loop rotation action on LG. This lifts the isomorphism of K-groups of [FHT1,2, 3] to an equivalence of categories. The construction uses families of Dirac operators.

I added this reference at matrix factorization, Constantin Teleman, Loop Groups and Twisted K-Theory.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeSep 23rd 2014

Yeah, that’s neat. I had gotten a preview of this last week.

I have cross-linked with string 2-group

• CommentRowNumber5.
• CommentAuthorzskoda
• CommentTimeSep 23rd 2014
• (edited Sep 23rd 2014)

As I updated the note above only after your reply: the reference is added also at matrix factorization, Constantin Teleman, Loop Groups and Twisted K-Theory.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeSep 23rd 2014

Excellent. Thanks.

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