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1

Reidemeister moves and groups

Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 276 KB

english, 2015

2

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Basic Definitions and Notions

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 301 KB

english, 2012

3

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Virtual Knots and Three-Dimensional Topology

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 291 KB

english, 2012

4

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Quandles (Distributive Groupoids) in Virtual Knot Theory

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 539 KB

english, 2012

5

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || The Jones–Kauffman Polynomial: Atoms

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 476 KB

english, 2012

6

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Khovanov Homology

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 789 KB

english, 2012

7

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Parity in Knot Theory: Free-Knots: Cobordisms

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 783 KB

english, 2012

8

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Theory of Graph-Links

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 428 KB

english, 2012

9

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Virtual Braids

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 279 KB

english, 2012

10

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || Vassiliev's Invariants and Framed Graphs

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 598 KB

english, 2012

11

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || FRONT MATTER

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 264 KB

english, 2012

12

[Series on Knots and Everything] Virtual Knots Volume 51 (The State of the Art) || BACK MATTER

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich

Year:

2012

Language:

english

File:

PDF, 191 KB

english, 2012

13

KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES

MANTUROV, VASSILY O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2003

Language:

english

File:

PDF, 208 KB

english, 2003

14

VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL

MANTUROV, VASSILY O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2005

Language:

english

File:

PDF, 250 KB

english, 2005

15

GRAPH-VALUED INVARIANTS OF VIRTUAL AND CLASSICAL LINKS AND MINIMALITY PROBLEM

KRASNOV, VLADIMIR ALEKSANDROVICH, MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2013

Language:

english

File:

PDF, 589 KB

english, 2013

16

ON THE RECOGNITION OF BRAIDS

GAIFULLIN, ALEXANDER A., MANTUROV, VASSILY O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2002

Language:

english

File:

PDF, 1.26 MB

english, 2002

17

MULTI-VARIABLE POLYNOMIAL INVARIANTS FOR VIRTUAL LINKS

MANTUROV, VASSILY O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2003

Language:

english

File:

PDF, 209 KB

english, 2003

18

Preface

Bae, Yongju, Lee, Sang Youl, Manturov, Vassily, Carter, J. Scott

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2014

Language:

english

File:

PDF, 58 KB

english, 2014

19

FIBERED KNOTS AND VIRTUAL KNOTS

CHRISMAN, MICAH W., MANTUROV, VASSILY O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2013

Language:

english

File:

PDF, 870 KB

english, 2013

20

PARITY AND PROJECTION FROM VIRTUAL KNOTS TO CLASSICAL KNOTS

MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2013

Language:

english

File:

PDF, 379 KB

english, 2013

21

MARKOV THEOREM FOR FREE LINKS

MANTUROV, VASSILY OLEGOVICH, WANG, HANG

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2012

Language:

english

File:

PDF, 631 KB

english, 2012

22

VIRTUAL CROSSING NUMBERS FOR VIRTUAL KNOTS

MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2012

Language:

english

File:

PDF, 284 KB

english, 2012

23

LONG VIRTUAL KNOTS AND THEIR INVARIANTS

MANTUROV, VASSILY O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2004

Language:

english

File:

PDF, 295 KB

english, 2004

24

Framed 4-valent graph minor theory I: Introduction. A planarity criterion and linkless embeddability

Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2014

Language:

english

File:

PDF, 239 KB

english, 2014

25

PREFACE

Dye, Heather A., Kauffman, Louis H., Manturov, Vassily O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2012

Language:

english

File:

PDF, 30 KB

english, 2012

26

EMBEDDINGS OF *-GRAPHS INTO 2-SURFACES

FRIESEN, TYLER, MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2013

Language:

english

File:

PDF, 379 KB

english, 2013

27

Checkerboard embeddings of *-graphs into nonorientable surfaces

Friesen, Tyler, Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2014

Language:

english

File:

PDF, 376 KB

english, 2014

28

KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS

MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2007

Language:

english

File:

PDF, 625 KB

english, 2007

29

PARITY AND EXOTIC COMBINATORIAL FORMULAE FOR FINITE-TYPE INVARIANTS OF VIRTUAL KNOTS

CHRISMAN, MICAH WHITNEY, MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2012

Language:

english

File:

PDF, 630 KB

english, 2012

30

INTRODUCTION TO GRAPH-LINK THEORY

ILYUTKO, DENIS PETROVICH, MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2009

Language:

english

File:

PDF, 386 KB

english, 2009

31

ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS

AFANASIEV, DENIS MIKHAILOVICH, MANTUROV, VASSILY OLEGOVICH

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2009

Language:

english

File:

PDF, 355 KB

english, 2009

32

Khovanov homology for virtual knots with arbitrary coefficients

Manturov, Vassily O

Journal:

Izvestiya Mathematics

Year:

2007

Language:

english

File:

PDF, 54 KB

english, 2007

33

Parity and cobordism of free knots

Manturov, Vassily O

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2012

Language:

english

File:

PDF, 1.61 MB

english, 2012

34

Parity in knot theory

Manturov, Vassily O

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2010

Language:

english

File:

PDF, 603 KB

english, 2010

35

On marked braid groups

Fedoseev, Denis A., Manturov, Vassily O., Cheng, Zhiyun

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 271 KB

english, 2015

36

Framed 4-valent graph minor theory II: Special minors and new examples

Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 357 KB

english, 2015

37

A parity map of framed chord diagrams

Ilyutko, Denis Petrovich, Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 1007 KB

english, 2015

38

Homotopical Khovanov homology

Manturov, Vassily Olegovich, Nikonov, Igor Mikhailovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 355 KB

english, 2015

39

Preface

Manturov, Vassily Olegovich, Ilyutko, Denis Petrovich, Nikonov, Igor Mikhailovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 2.86 MB

english, 2015

40

On braids and groups Gnk

Manturov, Vassily Olegovich, Nikonov, Igor Mikhailovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 307 KB

english, 2015

41

Graphical constructions for the sl(3), C 2 and G 2 invariants for virtual knots, virtual braids and free knots

Kauffman, Louis Hirsch, Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 1.11 MB

english, 2015

42

One-term parity bracket for braids

Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 290 KB

english, 2015

43

Parities on 2-knots and 2-links

Fedoseev, Denis A., Manturov, Vassily O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2016

Language:

english

File:

PDF, 511 KB

english, 2016

44

New parities and coverings over free knots

Manturov, Vassily Olegovich

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2016

Language:

english

File:

PDF, 476 KB

english, 2016

45

Additional gradings on generalizations of Khovanov homology and invariants of embedded surfaces

Manturov, Vassily Olegovich, Rushworth, William

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2018

Language:

english

File:

PDF, 527 KB

english, 2018

46

Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms

Fedoseev, Denis A., Manturov, Vassily O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2018

Language:

english

File:

PDF, 404 KB

english, 2018

47

A graphical construction of the sl(3) invariant for virtual knots

Kauffman, Louis, Manturov, Vassily

Journal:

Quantum Topology

Year:

2014

Language:

english

File:

PDF, 193 KB

english, 2014

48

Labels instead of coefficients: A label bracket ââ which dominates the Jones polynomial

Akimova, Alyona A., Manturov, Vassily O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2020

Language:

english

File:

PDF, 1.41 MB

english, 2020

49

Picture-valued parity-biquandle bracket

Ilyutko, Denis P., Manturov, Vassily O.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2020

File:

PDF, 1.19 MB

2020