Topology and Geometry

Athanase Papadopoulos

doi:10.4171/irma/33

BooksirmaCollected Volume

Topology and Geometry

A Collection of Essays Dedicated to Vladimir G. Turaev

Editors

Athanase Papadopoulos
Université de Strasbourg and CNRS, France

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pp. 15–44
Vladimir Turaev, friend and colleague
Athanase Papadopoulos
pp. 45–58
Triangles on planar Jordan $C^{1}$ -curves and differential topology
Jean-Claude Hausmann
pp. 59–68
Null-homologous unknottings
Charles Livingston
pp. 69–74
A question of Turaev about triple higher Milnor linking numbers of divide links
Norbert A’Campo
pp. 75–92
Fundamental groups in projective knot theory
Julia ViroOleg Viro
pp. 93–108
The Affine Index Polynomial and the Sawollek Polynomial
Louis H. Kauffman
pp. 109–130
Introduction to quantum representations of mapping class groups
Julien Marché
pp. 131–146
On symmetric matrices associated with oriented link diagrams
Rinat Kashaev
pp. 147–160
On Chen–Yang’s volume conjecture for various quantum invariants
Jun Murakami
pp. 161–174
Non-semisimple invariants and Habiro’s series
Anna BeliakovaKazuhiro Hikami
pp. 175–208
Modular categories and TQFTs beyond semisimplicity
Christian BlanchetMarco De Renzi
pp. 209–246
State sums for some super quantum link invariants
Louis-Hadrien RobertEmmanuel Wagner
pp. 247–256
Brane Topological Field Theory and Hurwitz numbers for CW-complexes
Sergey M. Natanzon
pp. 257–272
Resurgence of Faddeev’s quantum dilogarithm
Stavros GaroufalidisRinat Kashaev
pp. 273–308
On mapping class group quotients by powers of Dehn twists and their representations
Louis Funar
pp. 309–328
Higher holonomy and iterated integrals
Toshitake Kohno
pp. 329–356
Some algebraic aspects of the Turaev cobracket
Nariya Kawazumi
pp. 357–398
Generalized Dehn twists in low-dimensional topology
Yusuke KunoGwénaël MassuyeauShunsuke Tsuji
pp. 399–432
On geometric group theory
Valentin Poénaru
pp. 433–454
Geometry of knots and links
Nikolay AbrosimovAlexander Mednykh
pp. 455–476
Essential closed surfaces and finite coverings of negatively curved cusped 3-manifolds
Charalampos Charitos
pp. 477–502
Continuous and discontinuous functions on deformation spaces of Kleinian groups
Ken’ichi Ohshika
pp. 503–536
A generalization of King’s equation via noncommutative geometry
Gourab BhattacharyaMaxim Kontsevich
pp. 537–560
Dessins for modular operads and the Grothendieck–Teichmüller group
Noémie C. CombeYuri I. ManinMatilde Marcolli
pp. 561–578
On the involution Jimm
A. Muhammed Uludağ
pp. 579–598
What is a black hole? – A geometric introduction
Sumio Yamada
pp. 599–642
The paradoxical nature of mathematics
Vassiliki FarmakiStelios Negrepontis
pp. 643–682
Returns of geometry: From the Pythagoreans to mathematical modernism and beyond
Arkady Plotnitsky

Publication Date

15 July 2021

Identifiers

DOI: 10.4171/IRMA/33
ISBN print: 978-3-98547-001-3
ISBN digital: 978-3-98547-501-8

Keywords

higher linking numbers for links in the 3-sphere
intersection of loops on surfaces
Turaev cobracket
Poincaré complexes
Poincaré duality
spin structures in 3-manifolds
explicit constructions of cocycles
Turaev surface
Turaev volume
skein module
quantum invariants of knots
links and 3-manifolds
6j-symbols; Turaev–Viro invariant
Reshetikhin–Turaev invariant
TQFT
HQFT
Gauss words and links
enumeration problems in topology and group theory
generalizations of the Thurston norm
knotoids
knots
links
braids
intersections and self-intersections of loops on surfaces
cobrackets
combinatorial group theory
metric geometry
phylogenetics

Mathematics Subject Classification

01-02
16T05
17B37
17B63
18M05
20D60
53D17
57K31
55N33
68R15
57R19
57R56
58D19

Print

Hardcover, 698 pages, 16.5cm x 23.5cm