Springer theory via the Hitchin fibration

Details Springer theory via the Hitchin fibration Springer theory via the Hitchin fibration

2008-06-27

arxiv.org/abs/0806.4566v3

Mathematics

Symplectic Geometry

37 pages; to appear in Compos. Math

Scientific paper

In this paper, we translate the Springer theory of Weyl group representations into the language of symplectic topology. Given a semisimple complex group G, we describe a Lagrangian brane in the cotangent bundle of the adjoint quotient g/G that produces the perverse sheaves of Springer theory. The main technical tool is an analysis of the Fourier transform for constructible sheaves from the perspective of the Fukaya category. Our results can be viewed as a toy model of the quantization of Hitchin fibers in the Geometric Langlands program.

Affiliated with

Also associated with

No associations

Rating

Springer theory via the Hitchin fibration does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Springer theory via the Hitchin fibration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Springer theory via the Hitchin fibration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-693161