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KNOTS in Poland 2003: The mini-semester on Knot Theory and its Ramifications
July 7-27, 2003
Stefan Banach International Mathematical Center
Warsaw (July 7-13) and Bedlewo (July 14-27), Poland

Organizers
J. Kania-Bartoszynska (Boise State Univ., USA), J.H. Przytycki (GWU, USA), P. Traczyk (Warsaw University, Poland), V. Turaev (Louis Pasteur Univ., Strasbourg, France), B. Wajnryb (Technion, Haifa, Israel)

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Abstracts

Program Committee: J. Birman (Columbia University, USA), C. Gordon (Univ. Texas), V.F.R. Jones (U.C. Berkeley, USA), L. Kauffman (University of Illinois at Chicago, USA), H. Morton (U. Liverpool, England), K. Murasugi (U. Toronto, Canada), D. Rolfsen (Univ. British Columbia, Canada)

Vladimir Chernov (Tchernov) Affine Linking numbers and their applications to the study of wave front propagation
Vladimir Chernov (Tchernov) Vassiliev invariant of Legendrian, Pseudo-Legendrian, Transverse and framed knots
Norbert A'Campo Generic immersed curves in the disk and their links
Peter Akhmet'ev On the generalized Sato-Levine invariant and applications in magneto-hydrodynamics
Marta M. Asaeda Khovanov homologies for products of surfaces and an interval
Dror Bar-Natan Introduction to Khovanov homology
Valerij Georgievich Bardakov On linear representations and orders of some generalized braid groups
Anna Beliakova Geometric construction of spinors in orthogonal modular categories
Paolo Bellingeri Link invariants satisfying a cubic skein relation
Silvia Benvenuti On a Lego-Teichmuller Game
Christian Blanchet On the link invariant associated with spinors
Ivelina Bobtcheva How many different invariants of 3-manifolds can be constructed from the same Hopf algebra and are those related?
John Bryden Naturally occuring semisimple categories derived from the stable category
John Bryden Semisimple Derived Categories
John Bryden Seifert's linking form conjecture
Scott Carter Knot invariants defined via AG-quandle homology theory
Alessia Cattabriga (1, 1)-knots via the mapping class group of the twice punctured torus
James Conant Do Vassiliev invariants distinguish knots?
Florian Deloup The classification of quadratic linkings
Ivan Dynnikov Recognizing the unknot by using a monotone reduction
Alexander Fel'shtyn Reidemeister torsion and counting periodic orbits
Roger Fenn What have the equations A=A2+BAC, D=D2+CDB and CD-DC=CDA, BA-AB=BAD got to do with virtual knots and links?
Thomas Fiedler One parameter knot theory
Stefan Forcey Braids and categorical enrichment
Charles Frohman From Classical to Quantum Invariants
Nathan Geer Invariants coming from the super general linear groups, gl(m|n).
Patrick M. Gilmer The even cobordism category
Alexey M. Gurin On the structure packing of balls
Laure Helme-Guizon Approximation of the coefficients of the HOMFLYPT polynomial by Vassiliev invariants
Mikami Hirasawa The crosscap number of 2-bridge knots
Cam Van Quach Hongler On the adjacency relations between Murasugi special components
James R. Hughes Partial conjugations suffice
Elmas Irmak Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups
Ivan Izmestiev Unfoldings of triangulations: a simplicial version of Hilden-Montesinos theorem
Magnus Jacobsson An invariant of link cobordism from Khovanov homology.
U. Kaiser, H. Morton, J. Przytycki Introduction to skein modules
Uwe Kaiser Skein theory and topology of mapping spaces
Oleg Karpenkov On some particular energies of knots
Louis H. Kauffman Virtual knot theory
Thomas Kerler Unraveling the Structure of the Reshetikhin Turaev TQFT
Ulrich Koschorke Nielsen coincidence theory in higher codimensions and link maps
Vitali Kurlin A three-page presentation of spatial graphs
Sofia Lambropoulou The algebraic classification of links in 3-manifolds
Thang Le Quantum invariants: recursion relations and cyclotomic expansion
Janos A. Makowsky On the tree width of knots and links
Joze Malesic Seifert circles, braid index and the algebraic crossing number
Vassily Olegovich Manturov New Invariant Polynomials of Virtual Links
Vassily Olegovich Manturov Invariants of long virtual (and classical) links
Joao Faria Martins Knot Theory with the Quantum Lorentz Group
Gregor Masbaum On the colored Jones polynomial of twist knots
Gwenael Massuyeau Cohomology rings, Rochlin functions, linking pairings and the Goussarov-Habiro theory of three-manifolds
Alexander Mednykh Hyperbolic volumes of knot and link cone manifolds
Jean-Baptiste Meilhan Goussarov-Habiro theory for homology cylinders
Rama Mishra Minimal degree sequence of torus knots
Hugh R. Morton Reverse string satellites and Homfly polynomials
Maciej Mroczkowski Homflypt and Kauffman Skein modules of L(2, 1)
Michele Mulazzani (1, 1)-Knots and Dunwoody Manifolds
Hitoshi Murakami Volume conjecture for non-simple knots
Kunio Murasugi The twisted Alexander polynomial of 2-bridge knots
Gad Naot On Chern-Simons theory with an inhomogeenous gauge group
S. Natanzon Non-commutative extensions of topological field theories
Zbigniew Oziewicz Hurwitz operad.
Marina Pashkevich On hyperbolic volume of the Borromean link cone manifolds
Misha Polyak Polynomials and Cubic Complexes
Jozef H. Przytycki From 3-moves to Lagrangian tangles and cubic skein modules
Masahico Saito Ribbon concordance and triple point numbers of knotted surfaces and quandle cocycle invariants
Akiko Shima On surface braids of index four with at most two crossings
Alexander Shumakovitch Torsion of the Khovanov homology.
Mikhail Skopenkov Embedding products of graphs into Euclidean spaces
Vladimir Vershinin Sergiescu presentation for generalizations of braids
Andrei Vesnin On cyclic branched coverings of 2-bridge knots
Ruben Vigara Representing 3-manifolds by filling Dehn Spheres
Oleg Viro Naive categorifications: Khovanov homology out of the Kauffman Bracket
Ismar Volic Finite type knot invariants and calculus of functors
Andreas Zastrow On the (non-)uniqueness of Cartesian products of surfaces


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