Large N duality, lagrangian cycles, and algebraic knots

Details Large N duality, lagrangian cycles, and algebraic knots Large N duality, lagrangian cycles, and algebraic knots

2011-11-28

arxiv.org/abs/1111.6533v1

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, latex

Scientific paper

We consider knot invariants in the context of large $N$ transitions of topological strings. In particular we consider aspects of Lagrangian cycles associated to knots in the conifold geometry. We show how these can be explicity constructed in the case of algebraic knots. We use this explicit construction to explain a recent conjecture relating study of stable pairs on algebraic curves with HOMFLY polynomials. Furthermore, for torus knots, using the explicit construction of the Lagrangian cycle, we also give a direct A-model computation and recover the HOMFLY polynomial for this case.

Affiliated with

Also associated with

No associations

Rating

Large N duality, lagrangian cycles, and algebraic knots 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 Large N duality, lagrangian cycles, and algebraic knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large N duality, lagrangian cycles, and algebraic knots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68285