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Homotopy theory, homological algebra, algebraic treatments of manifolds.

8 votes
0 answers
547 views

What is $SL(2,\mathbb{R})$-Chern-SImons Theory?

I found in physics that Chern-Simons theory is closely related with three dimensional gravity. From this paper Three Dimensional Gravity Revisited, the author talks about the Chern-Simons for $$\m …
Xenomorph's user avatar
  • 615
5 votes
1 answer
264 views

The existence of the extension of a non-trivial line bundle

In Three Dimensional Gravity Revisted, Witten studied the Abelian Chern-Simons theory in three dimensions. Let $W$ be a three dimensional manifold. Let $\mathcal{L}$ be a non-trivial line-bundle over …
Xenomorph's user avatar
  • 615