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Colored HOMFLY-PT polynomials that distinguish mutant knots

(Apr 1, 2015)

Published in:
- J.Knot Theor.Ramifications 26 (2017) 14, 1750096
•
e-Print:
- 1504.00364 [math.GT]

pdfDOI

reference search44 citations

Knot invariants from Virasoro related representation and pretzel knots

D. Galakhov
(
- Moscow, ITEP and
- Rutgers U., Piscataway
)
,
D. Melnikov
(
- Moscow, ITEP and
- IIP, Brazil
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP and
- Moscow Phys. Eng. Inst.
)
,
A. Morozov
(
- Moscow, ITEP and
- Moscow Phys. Eng. Inst.
)

(Feb 9, 2015)

Published in:
- Nucl.Phys.B 899 (2015) 194-228
•
e-Print:
- 1502.02621 [hep-th]

DOI

reference search33 citations

Colored HOMFLY polynomials for the pretzel knots and links

A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP and
- Moscow Phys. Eng. Inst.
)
,
A. Morozov
(
- Moscow, ITEP and
- Moscow Phys. Eng. Inst.
)
,
A. Sleptsov
(
- Moscow, ITEP and
- Moscow Phys. Eng. Inst. and
- Chelyabinsk State U.
)

(Dec 29, 2014)

Published in:
- JHEP 07 (2015) 069
•
e-Print:
- 1412.8432 [hep-th]

DOI

reference search61 citations

Colored knot polynomials for arbitrary pretzel knots and links

D. Galakhov
(
- Moscow, ITEP and
- Rutgers U., Piscataway
)
,
D. Melnikov
(
- Moscow, ITEP and
- IIP, Brazil
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow Phys. Eng. Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow Phys. Eng. Inst. and
- Moscow, ITEP
)
,
A. Sleptsov
(
- Moscow, ITEP and
- Moscow Phys. Eng. Inst. and
- Chelyabinsk State U.
)

(Dec 8, 2014)

Published in:
- Phys.Lett.B 743 (2015) 71-74
•
e-Print:
- 1412.2616 [hep-th]

DOI

reference search49 citations

On colored HOMFLY polynomials for twist knots

Andrei Mironov
(
- Lebedev Inst. and
- Moscow Phys. Eng. Inst. and
- Moscow, ITEP
)
,
Alexei Morozov
(
- Moscow, ITEP and
- Moscow Phys. Eng. Inst.
)
,
Andrey Morozov
(
- Moscow, ITEP and
- Moscow Phys. Eng. Inst. and
- Moscow State U. and
- Chelyabinsk State U.
)

(Aug 13, 2014)

Published in:
- Mod.Phys.Lett.A 29 (2014) 34, 1450183
•
e-Print:
- 1408.3076 [hep-th]

pdfDOI

reference search34 citations

A note on colored HOMFLY polynomials for hyperbolic knots from WZW models

Jie Gu
(
- Bonn U.
)
,
Hans Jockers
(
- Bonn U.
)

(Jul 21, 2014)

Published in:
- Commun.Math.Phys. 338 (2015) 1, 393-456
•
e-Print:
- 1407.5643 [hep-th]

pdfDOI

reference search45 citations

Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary

T

-deformation of HOMFLY

A. Anokhina
(
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

(Mar 31, 2014)

Published in:
- JHEP 07 (2014) 063
•
e-Print:
- 1403.8087 [hep-th]

DOI

reference search36 citations

On genus expansion of superpolynomials

Andrei Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
Alexei Morozov
(
- Moscow, ITEP
)
,
Alexei Sleptsov
(
- Amsterdam U. and
- Moscow, ITEP
)
,
Andrey Smirnov
(
- Columbia U., Dept. Math. and
- Moscow, ITEP
)

(Oct 28, 2013)

Published in:
- Nucl.Phys.B 889 (2014) 757-777
•
e-Print:
- 1310.7622 [hep-th]

DOI

reference search25 citations

Colored Kauffman Homology and Super-A-polynomials

Satoshi Nawata
(
- NIKHEF, Amsterdam
)
,
P. Ramadevi
(
- Indian Inst. Tech., Mumbai
)
,
Zodinmawia
(
- Indian Inst. Tech., Mumbai
)

(Oct 8, 2013)

Published in:
- JHEP 01 (2014) 126
•
e-Print:
- 1310.2240 [hep-th]

DOI

reference search32 citations

Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants

#10

V. Dolotin
(
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

(Aug 27, 2013)

Published in:
- Nucl.Phys.B 878 (2014) 12-81
•
e-Print:
- 1308.5759 [hep-th]

DOI

reference search41 citations

Cabling procedure for the colored HOMFLY polynomials

#11

A. Anokhina
(
- Moscow, MIPT and
- Moscow, ITEP
)
,
An. Morozov
(
- Moscow State U. and
- Moscow, ITEP
)

(Jul 8, 2013)

Published in:
- Teor.Mat.Fiz. 178 (2014) 3-68,
- Theor.Math.Phys. 178 (2014) 1, 1-58
•
e-Print:
- 1307.2216 [hep-th]

pdfDOI

reference search84 citations

Differential hierarchy and additional grading of knot polynomials

#12

S.B. Arthamonov
(
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

(Jun 24, 2013)

Published in:
- Theor.Math.Phys. 179 (2014) 509-542,
- Teor.Mat.Fiz. 179 (2014) 147-188
•
e-Print:
- 1306.5682 [hep-th]

pdfDOI

reference search51 citations

Evolution method and “differential hierarchy” of colored knot polynomials

#13

A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)
,
An. Morozov
(
- Moscow State U. and
- Moscow, ITEP
)

(Jun 13, 2013)

Published in:
- AIP Conf.Proc. 1562 (2013) 1, 123-155
•
Contribution to:
- 2nd International Workshop on Nonlinear and Modern Mathematical Physics, 123-155
•
e-Print:
- 1306.3197 [hep-th]

pdfDOI

reference search77 citations

On genus expansion of knot polynomials and hidden structure of Hurwitz tau-functions

#14

A. Mironov
(
- Moscow, ITEP and
- Lebedev Inst.
)
,
A. Morozov
(
- Moscow, ITEP
)
,
A. Sleptsov
(
- Moscow, ITEP
)

(Apr 28, 2013)

Published in:
- Eur.Phys.J.C 73 (2013) 2492
•
e-Print:
- 1304.7499 [hep-th]

pdfDOI

reference search42 citations

Quadruply-graded colored homology of knots.

#15

Eugene Gorsky
(
- SUNY, Stony Brook, Math.
)
,
Sergei Gukov
(
- Caltech and
- Bonn, Max Planck Inst., Math.
)
,
Marko Stosic
(
- Lisbon, IST and
- Math. Inst. SANU
)

(Apr 11, 2013)

Published in:
- Fundam. Math. 243 (2018) 3, 209-299
•
e-Print:
- 1304.3481 [math.QA]

pdfDOI

reference search86 citations

Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux

#16

A. Anokhina
(
- Moscow, MIPT and
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)
,
And. Morozov
(
- Moscow State U. and
- Moscow, ITEP
)

(Apr 4, 2013)

Published in:
- Adv.High Energy Phys. 2013 (2013) 931830
•
e-Print:
- 1304.1486 [hep-th]

DOI

reference search59 citations

Genus expansion of HOMFLY polynomials

#17

(Mar 5, 2013)

Published in:
- Theor.Math.Phys. 177 (2013) 1435-1470,
- Teor.Mat.Fiz. 177 (2013) 2, 179-221
•
e-Print:
- 1303.1015 [hep-th]

pdfDOI

reference search44 citations

Multiplicity-free quantum 6

j

-symbols for

U_{q}(\mathfrak{sl}_N)

#18

Satoshi Nawata
(
- NIKHEF, Amsterdam
)
,
P. Ramadevi
(
- Indian Inst. Tech., Mumbai
)
,
Zodinmawia
(
- Indian Inst. Tech., Mumbai
)

(Feb 20, 2013)

Published in:
- Lett.Math.Phys. 103 (2013) 1389-1398
•
e-Print:
- 1302.5143 [hep-th]

pdfDOI

reference search57 citations

Colored HOMFLY polynomials from Chern-Simons theory

#19

Satoshi Nawata
(
- NIKHEF, Amsterdam
)
,
P. Ramadevi
(
- Indian Inst. Tech., Mumbai
)
,
Zodinmawia
(
- Indian Inst. Tech., Mumbai
)

(Feb 20, 2013)

Published in:
- J.Knot Theor. 22 (2013) 1350078
•
e-Print:
- 1302.5144 [hep-th]

pdfDOI

reference search62 citations

The first-order deviation of superpolynomial in an arbitrary representation from the special polynomial

#20

A. Morozov
(
- Moscow State U. and
- Moscow, ITEP
)

(Nov, 2012)

Published in:
- JETP Lett. 97 (2013) 171-172
•
e-Print:
- 1211.4596 [hep-th]

pdfDOI

reference search20 citations

Knot polynomials in the first non-symmetric representation

#21

A. Anokhina
(
- Moscow, MIPT and
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP and
- IIP, Brazil
)
,
A. Morozov
(
- Moscow, ITEP and
- IIP, Brazil
)
,
An. Morozov
(
- Moscow State U. and
- Moscow, ITEP
)

(Nov, 2012)

Published in:
- Nucl.Phys.B 882 (2014) 171-194
•
e-Print:
- 1211.6375 [hep-th]

DOI

reference search44 citations

Reformulated invariants for non-torus knots and links

#22

(Sep, 2012)

e-Print:
- 1209.1346 [hep-th]

pdf

reference search50 citations

Super-A-polynomials for Twist Knots

#23

Satoshi Nawata
(
- Perimeter Inst. Theor. Phys.
)
,
P. Ramadevi
(
- Indian Inst. Tech., Mumbai
)
,
Zodinmawia
(
- Indian Inst. Tech., Mumbai
)
,
Xinyu Sun
(
- Xavier U., Louisiana
)

(Sep, 2012)

Published in:
- JHEP 11 (2012) 157
•
e-Print:
- 1209.1409 [hep-th]

pdfDOI

reference search71 citations

Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials

#24

V. Dolotin
(
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

(Sep, 2012)

Published in:
- J.Phys.Conf.Ser. 411 (2013) 012013
•
Contribution to:
- ISQS-20
•
e-Print:
- 1209.5109 [math-ph]

pdfDOI

reference search38 citations

Eigenvalue hypothesis for Racah matrices and HOMFLY polynomials for 3-strand knots in any symmetric and antisymmetric representations

#25

H. Itoyama
(
- OCAMI, Osaka and
- Osaka City U.
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)
,
An. Morozov
(
- Moscow State U. and
- Moscow, ITEP
)

(Sep, 2012)

Published in:
- Int.J.Mod.Phys.A 28 (2013) 1340009
•
e-Print:
- 1209.6304 [math-ph]

pdfDOI

reference search68 citations

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