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1

Applications of quantum invariants in low dimensional topology

Stavros Garoufalidis

Journal:

Year:

1998

Language:

english

File:

PDF, 387 KB

english, 1998

2

On Knots with trivial Alexander polynomial

Garoufalidis, Stavros, Teichner, Peter

Journal:

Journal Of Differential Geometry

Year:

2004

Language:

english

File:

PDF, 296 KB

english, 2004

3

The Århus integral of rational homology 3-spheres I: A highly non trivial flat connection onS3

D. Bar-Natan, S. Garoufalidis, L. Rozansky, D. P. Thurston

Journal:

Selecta Mathematica

Year:

2002

Language:

english

File:

PDF, 459 KB

english, 2002

4

Asymptotics of quantum spin networks at a fixed root of unity

Stavros Garoufalidis, Roland van der Veen

Journal:

Mathematische Annalen

Year:

2012

Language:

english

File:

PDF, 709 KB

english, 2012

5

On the Melvin–Morton–Rozansky conjecture

Dror Bar-Natan, Stavros Garoufalidis

Journal:

Inventiones mathematicae

Year:

1996

Language:

english

File:

PDF, 608 KB

english, 1996

6

The complex volume of $\operatorname {SL}(n,\mathbb{C})$ -representations of 3-manifolds

Garoufalidis, Stavros, Thurston, Dylan P., Zickert, Christian K.

Journal:

Duke Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 622 KB

english, 2015

7

The 3D index of an ideal triangulation and angle structures

Garoufalidis, Stavros

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 848 KB

english, 2016

8

The quantum content of the gluing equations

Dimofte, Tudor, Garoufalidis, Stavros

Journal:

Geometry & Topology

Year:

2013

Language:

english

File:

PDF, 566 KB

english, 2013

9

G-functions and multisum versus holonomic sequences

Stavros Garoufalidis

Journal:

Advances in Mathematics

Year:

2009

Language:

english

File:

PDF, 139 KB

english, 2009

10

Finite type invariants of cyclic branched covers

Stavros Garoufalidis, Andrew Kricker

Journal:

Year:

2004

Language:

english

File:

PDF, 478 KB

english, 2004

11

The loop expansion of the Kontsevich integral, the null-move and S-equivalence

Stavros Garoufalidis, Lev Rozansky

Journal:

Year:

2004

Language:

english

File:

PDF, 412 KB

english, 2004

12

On finite type 3-manifold invariants III: Manifold weight systems

Stavros Garoufalidis, Tomotada Ohtsuki

Journal:

Year:

1998

Language:

english

File:

PDF, 1.18 MB

english, 1998

13

On finite type 3-manifold invariants II

Stavros Garoufalidis, Jerome Levine

Journal:

Mathematische Annalen

Year:

1996

Language:

english

File:

PDF, 1.19 MB

english, 1996

14

Wheels, wheeling, and the Kontsevich integral of the Unknot

Dror Bar-Natan, Stavros Garoufalidis, Lev Rozansky, Dylan P. Thurston

Journal:

Israel Journal of Mathematics

Year:

2000

Language:

english

File:

PDF, 902 KB

english, 2000

15

The Århus integral of rational homology 3-spheres II: Invariance and universality

D. Bar-Natan, S. Garoufalidis, L. Rozansky, D. P. Thurston

Journal:

Selecta Mathematica

Year:

2002

Language:

english

File:

PDF, 499 KB

english, 2002

16

The Århus integral of rational homology 3-spheres III: Relation with the Le–Murakami–Ohtsuki invariant

Dror Bar-Natan, Stavros Garoufalidis, Lev Rozansky, Dylan P. Thurston

Journal:

Selecta Mathematica

Year:

2004

Language:

english

File:

PDF, 305 KB

english, 2004

17

A surgery view of boundary links

Stavros Garoufalidis, Andrew Kricker

Journal:

Mathematische Annalen

Year:

2003

Language:

english

File:

PDF, 240 KB

english, 2003

18

A non-commutative formula for the colored Jones function

Stavros Garoufalidis, Martin Loebl

Journal:

Mathematische Annalen

Year:

2006

Language:

english

File:

PDF, 636 KB

english, 2006

19

The Alexander polynomial and finite type 3-manifold invariants

Stavros Garoufalidis, Nathan Habegger

Journal:

Mathematische Annalen

Year:

2000

Language:

english

File:

PDF, 101 KB

english, 2000

20

Finite type 3-manifold invariants and the structure of the Torelli group. I

Stavros Garoufalidis, Jerome Levine

Journal:

Inventiones mathematicae

Year:

1998

Language:

english

File:

PDF, 641 KB

english, 1998

21

Gevrey series in quantum topology

Garoufalidis, Stavros, Lê, Thang T. Q.

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2008

Language:

english

File:

PDF, 247 KB

english, 2008

22

Values of Zeta Functions at Negative Integers, Dedekind Sums and Toric Geometry

Stavros Garoufalidis and James E. Pommersheim

Journal:

Journal of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 477 KB

english, 2001

23

Alternating knots, planar graphs, and\(q\)-series

Garoufalidis, Stavros, Vuong, Thao

Journal:

The Ramanujan Journal

Year:

2015

Language:

english

File:

PDF, 1.02 MB

english, 2015

24

The quantum MacMahon Master Theorem

Garoufalidis, S., Le, T. T. Q., Zeilberger, D.

Journal:

Proceedings of the National Academy of Sciences

Year:

2006

Language:

english

File:

PDF, 197 KB

english, 2006

25

Recurrent Sequences of Polynomials in Three-Dimensional Topology

Garoufalidis, Stavros

Journal:

Acta Mathematica Vietnamica

Year:

2014

Language:

english

File:

PDF, 312 KB

english, 2014

26

A Generating Series for Murakami-Ohtsuki-Yamada Graph Evaluations

Garoufalidis, Stavros, van der Veen, Roland

Journal:

Acta Mathematica Vietnamica

Year:

2014

Language:

english

File:

PDF, 459 KB

english, 2014

27

Sum-integral interpolators and the Euler-Maclaurin formula for polytopes

Garoufalidis, Stavros, Pommersheim, James

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 354 KB

english, 2012

28

Incompressibility criteria for spun-normal surfaces

Dunfield, Nathan M., Garoufalidis, Stavros

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 415 KB

english, 2012

29

Knots, BPS States, and Algebraic Curves

Garoufalidis, Stavros, Kucharski, Piotr, Sułkowski, Piotr

Journal:

Communications in Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 866 KB

english, 2016

30

Asymptotics of classical spin networks

Garoufalidis, Stavros, van der Veen, Roland

Journal:

Geometry & Topology

Year:

2013

Language:

english

File:

PDF, 395 KB

english, 2013

31

10.1090/S0894-0347-00-00352-0

Garoufalidis, Stavros, Pommersheim, James E.

Journal:

Journal of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 352 KB

english, 2001

32

Finite type {3}-manifold invariants, the mapping class group and blinks

Garoufalidis, Stavros, Levine, Jerome

Journal:

Journal Of Differential Geometry

Year:

1997

Language:

english

File:

PDF, 4.92 MB

english, 1997

33

Quantum knot invariants

Garoufalidis, Stavros

Journal:

Research in the Mathematical Sciences

Year:

2018

Language:

english

File:

PDF, 693 KB

english, 2018

34

A survey of $q$-holonomic functions

Garoufalidis, Stavros, Lê, Thang T. Q.

Journal:

L'Enseignement Mathématique

Year:

2016

Language:

english

File:

PDF, 355 KB

english, 2016

35

A rational noncommutative invariant of boundary links

Garoufalidis, Stavros, Kricker, Andrew

Journal:

Geometry & Topology

Year:

2004

File:

PDF, 790 KB

2004

36

An Ansatz for the asymptotics of hypergeometric multisums

Stavros Garoufalidis

Journal:

Advances in Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 236 KB

english, 2008

37

Random Walks And The Colored Jones Function

Stavros Garoufalidis*, Martin Loebl†

Journal:

Year:

2005

Language:

english

File:

PDF, 283 KB

english, 2005

38

Universality and asymptotics of graph counting problems in non-orientable surfaces

Stavros Garoufalidis, Marcos Mariño

Journal:

Journal of Combinatorial Theory, Series A

Year:

2010

Language:

english

File:

PDF, 499 KB

english, 2010

39

The Jones polynomial of the trefoil: A case study of q-holonomic sequences

Stavros Garoufalidis, Christoph Koutschan

Journal:

Advances in Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 202 KB

english, 2011

40

Analyticity of the Planar Limit of a Matrix Model

Garoufalidis, Stavros, Popescu, Ionel

Journal:

Annales Henri Poincaré

Year:

2013

Language:

english

File:

PDF, 689 KB

english, 2013

41

The Noncommutative A -Polynomial of (−2, 3, n ) Pretzel Knots

Garoufalidis, Stavros, Koutschan, Christoph

Journal:

Experimental Mathematics

Year:

2012

Language:

english

File:

PDF, 462 KB

english, 2012

42

IS THE JONES POLYNOMIAL OF A KNOT REALLY A POLYNOMIAL?

GAROUFALIDIS, STAVROS, LÊ, THANG TQ

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2006

Language:

english

File:

PDF, 263 KB

english, 2006

43

THE MYSTERY OF THE BRANE RELATION

GAROUFALIDIS, STAVROS

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2002

Language:

english

File:

PDF, 245 KB

english, 2002

44

ANALYTIC INVARIANTS OF BOUNDARY LINKS

GAROUFALIDIS, STAVROS, LEVINE, JEROME

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2002

Language:

english

File:

PDF, 962 KB

english, 2002

45

ON FINITE TYPE 3-MANIFOLD INVARIANTS I

GAROUFALIDIS, STAVROS

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1996

Language:

english

File:

PDF, 822 KB

english, 1996

46

DIFFERENCE AND DIFFERENTIAL EQUATIONS FOR THE COLORED JONES FUNCTION

GAROUFALIDIS, STAVROS

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2008

Language:

english

File:

PDF, 281 KB

english, 2008

47

THE NON-COMMUTATIVE A-POLYNOMIAL OF TWIST KNOTS

GAROUFALIDIS, STAVROS, SUN, XINYU

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2010

Language:

english

File:

PDF, 289 KB

english, 2010

48

A REAPPEARANCE OF WHEELS

GAROUFALIDIS, STAVROS

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1998

Language:

english

File:

PDF, 281 KB

english, 1998

49

APPLICATIONS OF THE LANTERN IDENTITY

GAROUFALIDIS, STAVROS

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2001

Language:

english

File:

PDF, 646 KB

english, 2001

50

An extended version of additive K-theory

Garoufalidis, Stavros

Journal:

Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology

Year:

2009

Language:

english

File:

PDF, 2.11 MB

english, 2009