Logo

Knot Invariants and Higher Representation Theory

Small book cover: Knot Invariants and Higher Representation Theory

Knot Invariants and Higher Representation Theory
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Geometry of SurfacesGeometry of Surfaces
by
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.
(13066 views)
Book cover: Notes on String TopologyNotes on String Topology
by - arXiv
This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and our views about future directions of research.
(9205 views)
Book cover: Lower K- and L-theoryLower K- and L-theory
by - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(8754 views)
Book cover: An Introduction to Algebraic SurgeryAn Introduction to Algebraic Surgery
by - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
(9778 views)