Results 71 to 80 of about 5,500 (151)
Alexander-Conway and bracket polynomials of a family of pretzel links
Revista IntegraciónPolynomial invariants constitute a dynamic and essential area of study in knot theory. From the pioneer Alexander polynomial, the revolutionary Jones polynomial, to the collectively discovered HOMFLYPT polynomial (just to mention a few), these algebraic
Alan Samuel Hernández Flores +1 more
doaj +1 more source
Module categories, internal bimodules, and Tambara modules
Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.Abstract We use the theory of Tambara modules to extend and generalize the reconstruction theorem for module categories over a rigid monoidal category to the nonrigid case. We show a biequivalence between the 2‐category of cyclic module categories over a monoidal category C$\mathcal {C}$ and the bicategory of algebra and bimodule objects in the ...
Mateusz Stroiński
wiley +1 more source
Existence and rotatability of the two‐colored Jones–Wenzl projector
Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1095-1113, March 2024.Abstract The two‐colored Temperley–Lieb algebra 2TLR(sn)$2\,\mathrm{TL}_R({_{s}}{n})$ is a generalization of the Temperley–Lieb algebra. The analogous two‐colored Jones–Wenzl projector JWR(sn)∈2TLR(sn)$\mathrm{JW}_R({_{s}}{n}) \in 2\,\mathrm{TL}_R({_{s}}{n})$ plays an important role in the Elias–Williamson construction of the diagrammatic Hecke ...
Amit Hazi
wiley +1 more source
Categorification via blocks of modular representations II
, 2020 Bernstein, Frenkel and Khovanov have constructed a categorification of tensor products of the standard representation of $\mathfrak{sl}_2$ using singular blocks of category $\mathcal{O}$ for $\mathfrak{sl}_n$.
Nandakumar, Vinoth, Zhao, Gufang
core
Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1169-1191, March 2024.Abstract We initiate the study of K$K$‐theory Soergel bimodules, a global and K$K$‐theoretic version of Soergel bimodules. We show that morphisms of K$K$‐theory Soergel bimodules can be described geometrically in terms of equivariant K$K$‐theoretic correspondences between Bott–Samelson varieties.
Jens Niklas Eberhardt
wiley +1 more source
A characterization of heaviness in terms of relative symplectic cohomology
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract For a compact subset K$K$ of a closed symplectic manifold (M,ω)$(M, \omega)$, we prove that K$K$ is heavy if and only if its relative symplectic cohomology over the Novikov field is nonzero. As an application, we show that if two compact sets are not heavy and Poisson commuting, then their union is also not heavy.
Cheuk Yu Mak, Yuhan Sun, Umut Varolgunes
wiley +1 more source
, 1996 We construct tensor and bitensor categories with given Grothedieck rig (fusion algebra) in simple cases. The results provide examples on which to test the conjectural construction of 4-D TQFT's proposed by Crane and Frenkel and shed light on several other constructions of TQFT's.
Crane, Louis, Yetter, David N.
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Heisenberg categorification and Hilbert schemes
, 2011 Given a finite subgroup G of SL(2,C) we define an additive 2-category H^G whose Grothendieck group is isomorphic to an integral form of the Heisenberg algebra.
Cautis, Sabin, Licata, Anthony
core +1 more source
What is an equivalence in a higher category?
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 1-58, January 2024.Abstract The purpose of this survey is to present in a uniform way the notion of equivalence between strict n$n$‐categories or (∞,n)$(\infty ,n)$‐categories, and inside a strict (n+1)$(n+1)$‐category or (∞,n+1)$(\infty ,n+1)$‐category.
Viktoriya Ozornova, Martina Rovelli
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A Diagrammatic Categorification of a Clifford Algebra [PDF]
International Mathematics Research Notices, 2015 We give a graphical calculus for a categorification of a Clifford algebra and its Fock space representation via differential graded categories. The categorical action is motivated by the gluing action between the contact categories of infinite strips.
openaire +2 more sources