**Knot Invariants and Higher Representation Theory**

by Ben Webster

**Publisher**: arXiv 2013**Number of pages**: 87

**Description**:

We construct knot invariants categorifying the quantum knot variants for all representations of quantum groups. We show that these invariants coincide with previous invariants defined by Khovanov for sl_2 and sl_3 and by Mazorchuk-Stroppel and Sussan for sl_n.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**A Geometric Approach to Differential Forms**

by

**David Bachman**-

**arXiv**

This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.

(

**9205**views)

**Geometry of Surfaces**

by

**Nigel Hitchin**

Geometry of Surfaces by Nigel Hitchin is a textbook on surfaces. However the author is also going to try and consider surfaces intrinsically, or abstractly, and not necessarily embedded in three-dimensional Euclidean space.

(

**8233**views)

**Algebraic L-theory and Topological Manifolds**

by

**A. A. Ranicki**-

**Cambridge University Press**

Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds.

(

**4866**views)

**Exotic Homology Manifolds**

by

**Frank Quinn, Andrew Ranicki**

Homology manifolds were developed in the 20th century to give a precise setting for Poincare's ideas on duality. They are investigated using algebraic and geometric methods. This volume is the proceedings of a workshop held in 2003.

(

**4930**views)