| Title |
Topology and Geometry ([EBook] :) : A Collection of Essays Dedicated to Vladimir G. Turaev / / Athanase Papadopoulos |
| Added Personal Name |
Papadopoulos, Athanase |
| Publication |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2021 |
| Physical Details |
1 online resource (698 pages) |
| Series |
IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 33 |
| ISBN |
9783985475018 |
| Summary Note |
The present volume consists of a collection of essays dedicated to Vladimir Turaev. The essays cover the large spectrum of topics in which Turaev has been interested, including knot and link invariants, quantum representations, TQFTs, state sum constructions, geometric structures on knot complements, Kleinian groups, geometric group theory and its relationship with 3-manifolds, mapping class groups, operads, mathematical physics, Grothendieck’s program, the philosophy of mathematics, and several other topics. At the same time, this volume will give an overview of topics that are at the forefront of current research in topology and geometry. Some of the essays are research articles and contain new results, sometimes answering questions that were raised by Turaev. The rest of the essays are surveys that will introduce the reader to some key ideas in the field.: |
| Contents note |
Vladimir Turaev, friend and colleague /: Triangles on planar Jordan $C 1$-curves and differential topology /: Null-homologous unknottings /: A question of Turaev about triple higher Milnor linking numbers of divide links /: Fundamental groups in projective knot theory /: The Affine Index Polynomial and the Sawollek Polynomial /: Introduction to quantum representations of mapping class groups /: On symmetric matrices associated with oriented link diagrams /: On Chen–Yang’s volume conjecture for various quantum invariants /: Non-semisimple invariants and Habiro’s series /: Modular categories and TQFTs beyond semisimplicity /: State sums for some super quantum link invariants /: Brane Topological Field Theory and Hurwitz numbers for CW-complexes /: Resurgence of Faddeev’s quantum dilogarithm /: On mapping class group quotients by powers of Dehn twists and their representations /: Higher holonomy and iterated integrals /: Some algebraic aspects of the Turaev cobracket /: Generalized Dehn twists in low-dimensional topology /: On geometric group theory /: Geometry of knots and links /: Essential closed surfaces and finite coverings of negatively curved cusped 3-manifolds /: Continuous and discontinuous functions on deformation spaces of Kleinian groups /: A generalization of King’s equation via noncommutative geometry /: Dessins for modular operads and the Grothendieck–Teichmüller group /: On the involution Jimm /: What is a black hole? – A geometric introduction /: The paradoxical nature of mathematics /: Returns of geometry: From the Pythagoreans to mathematical modernism and beyond /: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/IRMA/33 |
| See Also |
https://www.ems-ph.org/img/books/papadopoulos-turaev_mini.jpg |
| Links to Related Works |
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