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HOMFLY polynomial
Known as:
HOMFLYPT polynomial
, HOMFLY invariant
, HOMFLY(PT) polynomial
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In the mathematical field of knot theory, the HOMFLY polynomial, sometimes called the HOMFLY-PT polynomial or the generalized Jones polynomial, is a…
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Related topics
Related topics
5 relations
Alexander polynomial
Jones polynomial
Kauffman polynomial
Knot polynomial
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
Colored HOMFLY polynomials can distinguish mutant knots
S. Nawata
,
P. Ramadevi
,
V. Singh
2015
Corpus ID: 118793112
We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity…
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Highly Cited
2014
Highly Cited
2014
Colored HOMFLY polynomials for the pretzel knots and links
A. Mironov
,
A. Morozov
,
A. Sleptsov
2014
Corpus ID: 53707273
A bstractWith the help of the evolution method we calculate all HOMFLY polynomials in all symmetric representations [r] for a…
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2012
2012
THE COLORED HOMFLY POLYNOMIAL IS q-HOLONOMIC
S. Garoufalidis
2012
Corpus ID: 39527151
We prove that the colored HOMFLY polynomial of a link, colored by symmetric or exterior powers of the fundamental representation…
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Highly Cited
2012
Highly Cited
2012
Refined Chern-Simons Theory and Topological String
M. Aganagic
,
Shamil Shakirov
2012
Corpus ID: 118451626
We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without…
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2012
2012
Stable pairs and the HOMFLY polynomial
D. Maulik
2012
Corpus ID: 116901496
Given a planar curve singularity, we prove a conjecture of Oblomkov–Shende, relating the geometry of its Hilbert scheme of points…
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Highly Cited
2011
Highly Cited
2011
Character expansion for HOMFLY polynomials. I. Integrability and difference equations
A. Mironov
,
A. Morozov
,
A. Morozov
2011
Corpus ID: 116961882
We suggest to associate with each knot the set of coefficients of its HOMFLY polynomial expansion into the Schur functions. For…
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Highly Cited
2011
Highly Cited
2011
Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
A. Mironov
,
A. Morozov
,
A. Morozov
2011
Corpus ID: 119153447
A bstractCharacter expansion is introduced and explicitly constructed for the (noncolored) HOMFLY polynomials of the simplest…
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Highly Cited
2011
Highly Cited
2011
Torus Knots and Mirror Symmetry
A. Brini
,
M. Mariño
,
B. Eynard
2011
Corpus ID: 119729468
We propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological…
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1998
1998
Homfly polynomials as vassiliev link invariants
T. Kanenobu
,
Y. Miyazawa
1998
Corpus ID: 55116916
We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the…
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Highly Cited
1988
Highly Cited
1988
Invariants of links of Conway type
J. Przytycki
,
P. Traczyk
1988
Corpus ID: 117083333
The purpose of this paper is to present a certain combinatorial method of constructing invariants of isotopy classes of oriented…
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