Results 1 to 10 of about 5,088 (103)
Polynomial knot and link invariants from the virtual biquandle [PDF]
, 2012 The Alexander biquandle of a virtual knot or link is a module over a 2-variable Laurent polynomial ring which is an invariant of virtual knots and links. The elementary ideals of this module are then invariants of virtual isotopy which determine both the
ALISSA S. CRANS +3 more
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Invariants of genus 2 mutants [PDF]
, 2007 Pairs of genus 2 mutant knots can have different Homfly polynomials, for example some 3-string satellites of Conway mutant pairs. We give examples which have different Kauffman 3-variable polynomials, answering a question raised by Dunfield et al in ...
H. R. MORTON +2 more
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Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory [PDF]
, 1997 We construct gauge invariant operators for singular knots in the context of Chern-Simons gauge theory. These new operators provide polynomial invariants and Vassiliev invariants for singular knots.
Akutsu +57 more
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, 2005 In the present paper, we describe new approaches for constructing virtual knot invariants. The main background of this paper comes from formulating and bringing together the ideas of biquandle (Kauffman and Radford) the virtual quandle (Manturov), the ...
Kauffman, Louis +1 more
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BPS counting for knots and combinatorics on words [PDF]
, 2016 We discuss relations between quantum BPS invariants defined in terms of a product decomposition of certain series, and difference equations (quantum A-polynomials) that annihilate such series.
Kucharski, Piotr, Sułkowski, Piotr
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Refined composite invariants of torus knots via DAHA [PDF]
, 2015 We define composite DAHA-superpolynomials of torus knots, depending on pairs of Young diagrams and generalizing the composite HOMFLY-PT polynomials in the theory of the skein of the annulus. We provide various examples.
Cherednik, Ivan, Elliot, Ross
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Quantum Racah matrices up to level 3 and multicolored link invariants
, 2018 This paper is a next step in the project of systematic description of colored knot and link invariants started in previous papers. In this paper, we managed to explicitly find the inclusive Racah matrices, i.e.
Bai, C. +6 more
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Hopf characterization of two-dimensional Floquet topological insulators
, 2019 We present a topological characterization of time-periodically driven two-band models in 2+1 dimensions as Hopf insulators. The intrinsic periodicity of the Floquet system with respect to both time and the underlying two-dimensional momentum space ...
Eckardt, André +2 more
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Worldsheet Interpretation of the Level-Rank Duality
, 2015 Level-rank duality relates the observables of two different Chern-Simons theories in which the roles of the Chern-Simons level and the rank of the gauge group are exchanged.
Soroush, Masoud
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Mutants and SU(3)_q invariants [PDF]
, 1998 Details of quantum knot invariant calculations using a specific SU(3)_q-module are given which distinguish the Conway and Kinoshita-Teresaka pair of mutant knots. Features of Kuperberg's skein-theoretic techniques for SU(3)_q invariants in the context of
Morton, HR, Ryder, HJ
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