Zobrazeno 1 - 10
of 870
pro vyhledávání: '"Rosé, David"'
We put a new spin on Khovanov--Rozansky homology. That is, we equip $\Lambda^n$-colored $\mathfrak{sl}_{2n}$ Khovanov--Rozansky homology with an involution whose $\pm 1$-eigenspaces are link invariants. When $n=1,2,3$ (and assuming technical conjectu
Externí odkaz:
http://arxiv.org/abs/2407.00189
To every compact oriented surface that is composed entirely out of 2-dimensional 0- and 1-handles, we construct a dg category using structures arising in Khovanov homology. These dg categories form part of the 2-dimensional layer (a.k.a. modular func
Externí odkaz:
http://arxiv.org/abs/2404.06301
We construct a Kirby color in the setting of Khovanov homology: an ind-object of the annular Bar-Natan category that is equipped with a natural handle slide isomorphism. Using functoriality and cabling properties of Khovanov homology, we define a Kir
Externí odkaz:
http://arxiv.org/abs/2210.05640
Publikováno v:
Pacific J. Math. 328 (2024) 1-75
We define 2-functors on the categorified quantum group of a simply-laced Kac-Moody algebra that induce Lusztig's internal braid group action at the level of the Grothendieck group.
Comment: 60 pages with xypic figures
Comment: 60 pages with xypic figures
Externí odkaz:
http://arxiv.org/abs/2205.04598
Autor:
Morrison, Rosie, Hanks, James, Orpin, Peter Guy, Strain, Sam, Taylor, Emma Nicole, Rose, David Christian
Publikováno v:
In Preventive Veterinary Medicine October 2024 231
Autor:
Little, Ruth, Tsouvalis, Judith, Escoffié, José Luis Fajardo, Hartley, Susan E., Rose, David Christian
Publikováno v:
In Land Use Policy December 2024 147
Autor:
Rose, David Z., DiGiorgi, Paul, Ramlawi, Basel, Pulungan, Zulkarnain, Teigland, Christie, Calkins, Hugh
Publikováno v:
In Heart Rhythm June 2024 21(6):771-779
We give a direct proof of a result of Sundaram and Stanley: that the dimension of the space of invariant vectors in a $2k$-fold tensor product of the vector representation of $\mathfrak{sp}_{2n}$ equals the number of $(n+1)$-avoiding matchings of $2k
Externí odkaz:
http://arxiv.org/abs/2108.11528
We introduce a multi-parameter deformation of the triply-graded Khovanov--Rozansky homology of links colored by one-column Young diagrams, generalizing the "$y$-ified" link homology of Gorsky--Hogancamp and work of Cautis--Lauda--Sussan. For each lin
Externí odkaz:
http://arxiv.org/abs/2107.09590
We study the skein relation that governs the HOMFLYPT invariant of links colored by one-column Young diagrams. Our main result is a categorification of this colored skein relation. This takes the form of a homotopy equivalence between two one-sided t
Externí odkaz:
http://arxiv.org/abs/2107.08117