[图书][B] Knot invariants and higher representation theory
B Webster - 2017 - ams.org
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 …
of quantum groups. We show that these invariants coincide with previous invariants defined …
[HTML][HTML] The finiteness conjecture for skein modules
The finiteness conjecture for skein modules | Inventiones mathematicae Skip to main content
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
Universal k-matrices for quantum Kac-Moody algebras
We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra $ H $
endowed with a universal K-matrix, ie, a universal solution of a generalized reflection …
endowed with a universal K-matrix, ie, a universal solution of a generalized reflection …
What Chern–Simons theory assigns to a point
AG Henriques - Proceedings of the National Academy of …, 2017 - National Acad Sciences
We answer the questions,“What does Chern–Simons theory assign to a point?” and “What
kind of mathematical object does Chern–Simons theory assign to a point?” Our answer to …
kind of mathematical object does Chern–Simons theory assign to a point?” Our answer to …
Webs for the quantum orthogonal group
E Bodish, H Wu - arXiv preprint arXiv:2309.03623, 2023 - arxiv.org
arXiv:2309.03623v1 [math.RT] 7 Sep 2023 Page 1 arXiv:2309.03623v1 [math.RT] 7 Sep 2023
WEBS FOR THE QUANTUM ORTHOGONAL GROUP ELIJAH BODISH AND HAIHAN WU …
WEBS FOR THE QUANTUM ORTHOGONAL GROUP ELIJAH BODISH AND HAIHAN WU …
Relating quantum character varieties and skein modules
J Korinman, J Murakami - arXiv preprint arXiv:2211.04252, 2022 - arxiv.org
We relate the Kauffman bracket stated skein modules to two independent constructions of
quantum representation spaces of Habiro and Van der Veen with the second author. We …
quantum representation spaces of Habiro and Van der Veen with the second author. We …
Type Webs
We define a $\mathbb {C}(q) $-linear pivotal category $\mathbf {Web}(\mathfrak {sp} _ {2n})
$ and prove that it is equivalent to the full subcategory of finite-dimensional representations …
$ and prove that it is equivalent to the full subcategory of finite-dimensional representations …
Knot polynomial identities and quantum group coincidences
S Morrison, E Peters, N Snyder - Quantum Topology, 2011 - ems.press
We construct link invariants using the D2n subfactor planar algebras, and use these to prove
new identities relating certain specializations of colored Jones polynomials to …
new identities relating certain specializations of colored Jones polynomials to …
Finite presentations for stated skein algebras and lattice gauge field theory
J Korinman - Algebraic & Geometric Topology, 2023 - msp.org
We provide finite presentations for stated skein algebras and deduce that those algebras are
Koszul and that they are isomorphic to the quantum moduli algebras appearing in lattice …
Koszul and that they are isomorphic to the quantum moduli algebras appearing in lattice …
Coxeter quiver representations in fusion categories and Gabriel's theorem
E Heng - Selecta Mathematica, 2024 - Springer
We introduce a notion of representation for a class of generalised quivers known as Coxeter
quivers. These representations are built using fusion categories associated to U q (sl 2) at …
quivers. These representations are built using fusion categories associated to U q (sl 2) at …