Search Results - "Wehrli, Stephan"
-
1
SUTURED KHOVANOV HOMOLOGY, HOCHSCHILD HOMOLOGY, AND THE OZSVÁTH-SZABÓ SPECTRAL SEQUENCE
Published in Transactions of the American Mathematical Society (01-10-2015)“…In 2002, Khovanov-Seidel constructed a faithful action of the (m+1)–strand braid group, 𝔅m+1, on the derived category of left modules over a quiver algebra,…”
Get full text
Journal Article -
2
Khovanov homology, sutured Floer homology and annular links
Published in Algebraic & geometric topology (01-01-2010)Get full text
Journal Article -
3
Quantum link homology via trace functor I
Published in Inventiones mathematicae (05-02-2019)“…Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a pair: bicategory and endobifunctor . For a graded…”
Get full text
Journal Article -
4
On the functoriality of 2 tangle homology
Published in Algebraic & geometric topology (06-06-2023)Get full text
Journal Article -
5
On the functoriality of sl(2) tangle homology
Published 02-04-2019“…Algebr. Geom. Topol. 23 (2023) 1303-1361 We construct an explicit equivalence between the (bi)category of gl(2) webs and foams and the Bar-Natan (bi)category…”
Get full text
Journal Article -
6
Functoriality of Odd and Generalized Khovanov Homology in $\mathbb{R}^3\times I
Published 30-10-2024“…We extend the generalized Khovanov bracket to smooth link cobordisms in $\mathbb{R}^3\times I$ and prove that the resulting theory is functorial up to global…”
Get full text
Journal Article -
7
On the colored Jones polynomial, sutured Floer homology, and knot Floer homology
Published in Advances in mathematics (New York. 1965) (01-04-2010)“…Let K ⊂ S 3 , and let K ˜ denote the preimage of K inside its double branched cover, Σ ( S 3 , K ) . We prove, for each integer n > 1 , the existence of a…”
Get full text
Journal Article -
8
Khovanov–Seidel quiver algebras and bordered Floer homology
Published in Selecta mathematica (Basel, Switzerland) (2014)“…We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered…”
Get full text
Journal Article -
9
Odd annular Bar-Natan category and gl(1|1)
Published 03-06-2022“…We introduce two monoidal supercategories: the odd dotted Temperley-Lieb category $\mathcal{T\!L}_{o,\bullet}(\delta)$, which is a generalization of the odd…”
Get full text
Journal Article -
10
On unification of colored annular sl(2) knot homology
Published 04-05-2023“…We show that the Khovanov and Cooper-Krushkal models for colored sl(2) homology are equivalent in the case of the unknot, when formulated in the quantum…”
Get full text
Journal Article -
11
Chronic metabolic acidosis increases NaDC-1 mRNA and protein abundance in rat kidney
Published in Kidney international (01-07-2000)“…Chronic metabolic acidosis increases NaDC-1 mRNA and protein abundance in rat kidney. Chronic metabolic acidosis increases, while alkali feeding inhibits,…”
Get full text
Journal Article -
12
On the Naturality of the Spectral Sequence from Khovanov Homology to Heegaard Floer Homology
Published in International mathematics research notices (01-01-2010)“…In [18], Ozsváth–Szabó established an algebraic relationship, in the form of a spectral sequence, between the reduced Khovanov homology of (the mirror of) a…”
Get full text
Journal Article -
13
A combinatorial proof of the homology cobordism classification of lens spaces
Published 26-05-2015“…It follows implicitly from recent work in Heegaard Floer theory that lens spaces are homology cobordant exactly when they are oriented homeomorphic. We provide…”
Get full text
Journal Article -
14
An action of gl(1|1) on odd annular Khovanov homology
Published 14-06-2018“…We define an annular version of odd Khovanov homology and prove that it carries an action of the Lie superalgebra $\mathfrak{gl}(1|1)$ which is preserved under…”
Get full text
Journal Article -
15
Annular Khovanov-Lee homology, braids, and cobordisms
Published 18-12-2016“…We prove that the Khovanov-Lee complex of an oriented link, L, in a thickened annulus, A x I, has the structure of a bifiltered complex whose filtered chain…”
Get full text
Journal Article -
16
Quantum Link Homology via Trace Functor I
Published 11-05-2016“…Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a~pair: bicategory $\mathbf{C}$ and endobifunctor…”
Get full text
Journal Article -
17
An elementary fact about unlinked braid closures
Published 03-09-2013“…Let n be a positive integer. We provide a Khovanov homology proof of the following classical fact: If the closure of an n-strand braid is the n-component…”
Get full text
Journal Article -
18
A remark on the topology of (n,n) Springer varieties
Published 15-08-2009“…We prove a conjecture of Khovanov which identifies the topological space underlying the Springer variety of complete flags in C^2n stabilized by a fixed…”
Get full text
Journal Article -
19
Mutation invariance of Khovanov homology over $\mathbb{F}_2
Published 22-04-2009“…We prove that Khovanov homology and Lee homology with coefficients in $\mathbb{F}_2$ are invariant under component-preserving link mutations…”
Get full text
Journal Article -
20
Contributions to Khovanov Homology
Published 05-10-2008“…Khovanov homology ist a new link invariant, discovered by M. Khovanov, and used by J. Rasmussen to give a combinatorial proof of the Milnor conjecture. In this…”
Get full text
Journal Article