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Title: Topology and Geometry ([EBook] :) : A Collection of Essays Dedicated to Vladimir G. Turaev // Athanase Papadopoulos Added Personal Name: Papadopoulos, Athanase, editor. 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 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). 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 /: Athanase Papadopoulos --Triangles on planar Jordan $C 1$-curves and differential topology /: Jean-Claude Hausmann --Null-homologous unknottings /: Charles Livingston --A question of Turaev about triple higher Milnor linking numbers of divide links /: Norbert A’Campo --Fundamental groups in projective knot theory /: Julia Viro, Oleg Viro --The Affine Index Polynomial and the Sawollek Polynomial /: Louis H. Kauffman --Introduction to quantum representations of mapping class groups /: Julien Marché --On symmetric matrices associated with oriented link diagrams /: Rinat Kashaev --On Chen–Yang’s volume conjecture for various quantum invariants /: Jun Murakami --Non-semisimple invariants and Habiro’s series /: Anna Beliakova, Kazuhiro Hikami --Modular categories and TQFTs beyond semisimplicity /: Christian Blanchet, Marco De Renzi --State sums for some super quantum link invariants /: Louis-Hadrien Robert, Emmanuel Wagner --Brane Topological Field Theory and Hurwitz numbers for CW-complexes /: Sergey M. Natanzon --Resurgence of Faddeev’s quantum dilogarithm /: Stavros Garoufalidis, Rinat Kashaev --On mapping class group quotients by powers of Dehn twists and their representations /: Louis Funar --Higher holonomy and iterated integrals /: Toshitake Kohno --Some algebraic aspects of the Turaev cobracket /: Nariya Kawazumi --Generalized Dehn twists in low-dimensional topology /: Yusuke Kuno, Gwénaël Massuyeau, Shunsuke Tsuji --On geometric group theory /: Valentin Poénaru --Geometry of knots and links /: Nikolay Abrosimov, Alexander Mednykh --Essential closed surfaces and finite coverings of negatively curved cusped 3-manifolds /: Charalampos Charitos --Continuous and discontinuous functions on deformation spaces of Kleinian groups /: Ken’ichi Ohshika --A generalization of King’s equation via noncommutative geometry /: Gourab Bhattacharya, Maxim Kontsevich --Dessins for modular operads and the Grothendieck–Teichmüller group /: Noémie C. Combe, Yuri I. Manin, Matilde Marcolli --On the involution Jimm /: A. Muhammed Uludağ --What is a black hole? – A geometric introduction /: Sumio Yamada --The paradoxical nature of mathematics /: Vassiliki Farmaki, Stelios Negrepontis --Returns of geometry: From the Pythagoreans to mathematical modernism and beyond /: Arkady Plotnitsky. ------------------------------ *** Non c'è alcun posseduto per questo Record *** -----------------------------------------------
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