04746nam a22003855a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002500133040001400158072001400172084003600186245013200222260008200354300003400436336002600470337002600496338003600522347002400558490008300582505242500665506006603090520087903156650003604035650003104071650002304102650004004125650004304165700003704208856003604245856007904281266-210621CH-001817-320210621234507.0a fot ||| 0|cr nn mmmmamaa210621e20210715sz fot ||| 0|eng d a978398547501870a10.4171/IRMA/332doi ach0018173 7aP2bicssc a01-xxa05-xxa16-xxa17-xx2msc10aTopology and Geometryh[electronic resource] :bA Collection of Essays Dedicated to Vladimir G. Turaev /cAthanase Papadopoulos3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2021 a1 online resource (698 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v3300tVladimir Turaev, friend and colleague /rAthanase Papadopoulos --tTriangles on planar Jordan $C^1$-curves and differential topology /rJean-Claude Hausmann --tNull-homologous unknottings /rCharles Livingston --tA question of Turaev about triple higher Milnor linking numbers of divide links /rNorbert A’Campo --tFundamental groups in projective knot theory /rJulia Viro, Oleg Viro --tThe Affine Index Polynomial and the Sawollek Polynomial /rLouis H. Kauffman --tIntroduction to quantum representations of mapping class groups /rJulien Marché --tOn symmetric matrices associated with oriented link diagrams /rRinat Kashaev --tOn Chen–Yang’s volume conjecture for various quantum invariants /rJun Murakami --tNon-semisimple invariants and Habiro’s series /rAnna Beliakova, Kazuhiro Hikami --tModular categories and TQFTs beyond semisimplicity /rChristian Blanchet, Marco De Renzi --tState sums for some super quantum link invariants /rLouis-Hadrien Robert, Emmanuel Wagner --tBrane Topological Field Theory and Hurwitz numbers for CW-complexes /rSergey M. Natanzon --tResurgence of Faddeev’s quantum dilogarithm /rStavros Garoufalidis, Rinat Kashaev --tOn mapping class group quotients by powers of Dehn twists and their representations /rLouis Funar --tHigher holonomy and iterated integrals /rToshitake Kohno --tSome algebraic aspects of the Turaev cobracket /rNariya Kawazumi --tGeneralized Dehn twists in low-dimensional topology /rYusuke Kuno, Gwénaël Massuyeau, Shunsuke Tsuji --tOn geometric group theory /rValentin Poénaru --tGeometry of knots and links /rNikolay Abrosimov, Alexander Mednykh --tEssential closed surfaces and finite coverings of negatively curved cusped 3-manifolds /rCharalampos Charitos --tContinuous and discontinuous functions on deformation spaces of Kleinian groups /rKen’ichi Ohshika --tA generalization of King’s equation via noncommutative geometry /rGourab Bhattacharya, Maxim Kontsevich --tDessins for modular operads and the Grothendieck–Teichmüller group /rNoémie C. Combe, Yuri I. Manin, Matilde Marcolli --tOn the involution Jimm /rA. Muhammed Uludağ --tWhat is a black hole? – A geometric introduction /rSumio Yamada --tThe paradoxical nature of mathematics /rVassiliki Farmaki, Stelios Negrepontis --tReturns of geometry: From the Pythagoreans to mathematical modernism and beyond /rArkady Plotnitsky.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThe 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.07aMathematics and science2bicssc07aHistory and biography2msc07aCombinatorics2msc07aAssociative rings and algebras2msc07aNonassociative rings and algebras2msc1 aPapadopoulos, Athanase,eeditor.40uhttps://doi.org/10.4171/IRMA/33423cover imageuhttps://www.ems-ph.org/img/books/papadopoulos-turaev_mini.jpg