An endomorphism of the Khovanov invariant
ES Lee - Advances in Mathematics, 2005 - Elsevier
We construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing
phenomena of the invariants for alternating links. As a consequence, it follows that the …
phenomena of the invariants for alternating links. As a consequence, it follows that the …
Fixing the functoriality of Khovanov homology
D Clark, S Morrison, K Walker - Geometry & Topology, 2009 - msp.org
Fixing the functoriality of Khovanov homology Page 1 Geometry & Topology 13 (2009) 1499–1582
1499 Fixing the functoriality of Khovanov homology DAVID CLARK SCOTT MORRISON KEVIN …
1499 Fixing the functoriality of Khovanov homology DAVID CLARK SCOTT MORRISON KEVIN …
Geometric complexity theory V: Equivalence between blackbox derandomization of polynomial identity testing and derandomization of Noether's normalization lemma
KD Mulmuley - 2012 IEEE 53rd Annual Symposium on …, 2012 - ieeexplore.ieee.org
It is shown that black-box derandomization of polynomial identity testing (PIT) is essentially
equivalent to derandomization of Noether's Normalization Lemma for explicit algebraic …
equivalent to derandomization of Noether's Normalization Lemma for explicit algebraic …
Computing Khovanov–Rozansky homology and defect fusion
N Carqueville, D Murfet - Algebraic & Geometric Topology, 2014 - msp.org
We compute the categorified sl (N) link invariants as defined by Khovanov and Rozansky, for
various links and values of N. This is made tractable by an algorithm for reducing tensor …
various links and values of N. This is made tractable by an algorithm for reducing tensor …
Open-closed TQFTS extend Khovanov homology from links to tangles
AD Lauda, H Pfeiffer - Journal of Knot Theory and Its Ramifications, 2009 - World Scientific
We use a special kind of 2-dimensional extended Topological Quantum Field Theories
(TQFTs), so-called open-closed TQFTs, in order to represent a refinement of Bar-Natan's …
(TQFTs), so-called open-closed TQFTs, in order to represent a refinement of Bar-Natan's …
Polynomial invariants, knot homologies, and higher twist numbers of weaving knots W (3, n)
R Mishra, R Staffeldt - Journal of Knot Theory and Its Ramifications, 2021 - World Scientific
We investigate several conjectures in geometric topology by assembling computer data
obtained by studying weaving knots, a doubly infinite family W (p, n) of examples of …
obtained by studying weaving knots, a doubly infinite family W (p, n) of examples of …
Cyclotomic expansion and volume conjecture for superpolynomials of colored HOMFLY-PT homology and colored Kauffman homology
Q Chen - arXiv preprint arXiv:1512.07906, 2015 - arxiv.org
We first study superpolynomial associated to triply-graded reduced colored HOMFLY-PT
homology. We propose conjectures of congruent relations and cyclotomic expansion for it …
homology. We propose conjectures of congruent relations and cyclotomic expansion for it …
[PS][PS] Open-Closed Topological Quantum Field Theory and Tangle Homology
AD Lauda - 2006 - math.ucr.edu
In this thesis we examine the relationship between 2-dimensional topological field theories
and homological link invariants, or what are sometimes referred to as 'categorified'link …
and homological link invariants, or what are sometimes referred to as 'categorified'link …
[PDF][PDF] Omologia di Lee per Link H-sottili e Invarianti per Concordanza
A Cavallo, P Lisca, R Benedetti - 2013 - core.ac.uk
L'omologia di Khovanov è un invariante di nodi e link molto potente. Introdotto da Mikhail
Khovanov nel 1999, ha segnato una vera e propria svolta nella ricerca in teoria dei nodi e …
Khovanov nel 1999, ha segnato una vera e propria svolta nella ricerca in teoria dei nodi e …
[PDF][PDF] Omologia di Khovanov
C Tamburrino, DB Martelli, P Lisca - 2009 - core.ac.uk
Questa tesi si propone di discutere nel modo piu semplice possibile la costruzione
dell'omologia di Khovanov, un particolare tipo di omologia associata ad un nodo o un link …
dell'omologia di Khovanov, un particolare tipo di omologia associata ad un nodo o un link …