Knot Invariants and Higher Representation Theory |
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Author:
| Webster, Ben |
Series title: | Memoirs of the American Mathematical Society Ser. |
ISBN: | 978-1-4704-2650-7 |
Publication Date: | Jan 2018 |
Publisher: | American Mathematical Society
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Book Format: | Paperback |
List Price: | AUD $106.00 |
Book Description:
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The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide with previous invariants defined by Khovanov for $\mathfrak{{sl}}_2$ and $\mathfrak{{sl}}_3$ and by Mazorchuk-Stroppel and Sussan for $\mathfrak{{sl}}_n$.
The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide with previous invariants defined by Khovanov for $\mathfrak{{sl}}_2$ and $\mathfrak{{sl}}_3$ and by Mazorchuk-Stroppel and Sussan for $\mathfrak{{sl}}_n$.