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: Combinatorial Knot TheoryCombinatorial Knot Theory
by - University of Illinois at Chicago
This book is an introduction to knot theory and to Witten's approach to knot theory via his functional integral. Contents: Topics in combinatorial knot theory; State Models and State Summations; Vassiliev Invariants and Witten's Functional Integral.
(12514 views)
Book cover: E 'Infinite' Ring Spaces and E 'Infinite' Ring SpectraE 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra
by - Springer
The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.
(13868 views)
Book cover: Diffeomorphisms of Elliptic 3-ManifoldsDiffeomorphisms of Elliptic 3-Manifolds
by - arXiv
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.
(10181 views)
Book cover: High-dimensional Knot TheoryHigh-dimensional Knot Theory
by - Springer
This book is an introduction to high-dimensional knot theory. It uses surgery theory to provide a systematic exposition, and it serves as an introduction to algebraic surgery theory, using high-dimensional knots as the geometric motivation.
(14404 views)