English

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(last update: July 24, 2001)

 : Quantum invariants of periodic 3-manifolds u : Nafaa Chbili (Monastir Fac. of Sciences, Tunisia) : 2001N83ij 14:00 - 15:00 ꏊ : RIMS 202 v: Let $p\geq 2$ an integer, a 3-manifold $M$ is said to be $p$-periodic if the finite cyclic group of order $p$ acts semi-freely on $M$ with a circle as the set of fixed points. We use the SU(2) quantum invariants to provide a condition for a 3-manifold to be periodic.

 : 3-manifold quantum invariants for general simple Lie algebra u : Thang Le (SUNY Buffalo) : 2001N727ij 14:00 - 15:00 ꏊ : RIMS 202 v: The talk is a survey of 3-manifold quantum invariants. We will describe basic definitions and fundamental properties of quantum invariants.

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tsuyoshi@cc.nara-wu.ac.jp

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ځFHomotopy types of homeomorphism groups and diffeomorphism groups

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ځFMorse-Smale diffeomorphisms on 3-manifolds

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ځFOpen-book decompositions & contact structures

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uҁFProf. E. Sedgwick (DePaul University)

ځFDecision problems in the space of Dehn fillings

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uҁFProf. Thomas Mattman (California State University, Chico)

ځFCyclic surgeries and boundary slopoes

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ځF̓͏ю Lackenby ̘_

Classification of Alternating Knots with tunnel number one

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uҁFProf. Jennifer Schultens (Emory University)

ځFLectures on 3-manifolds (4)

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uҁFRc Tꎁ (dCʐM,ɑ؍ݒ)

ځFProjective planes in 4-mainfolds and surgery along them

Abstract: For "unknotted" projective plane Po in the 4-sphere S^4, it is known that the exterior E(Po)is diffeomorphic to the neighborhood N(Po), which can be regarded as a Heegaard splitting of S^4.
Some of the speaker's results started at this fact. In the talk, he talks on a sum formula on surgery along a projective plane and a 2-sphere in 4-manifolds.

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uҁFProf. Martin Scharlemann (U. California, Santa Barbara)

ځFLectures on 3-manifolds (3)

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uҁFProf. Martin Scharlemann (U. California, Santa Barbara)

ځFLectures on 3-manifolds (2)

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uҁFProf. Martin Scharlemann (U. California, Santa Barbara)

ځFLectures on 3-manifolds (1)

Prof. Scharlemann Prof. Schultens ɎOl̘_ɊւAu肢܂D̍u̘͂Aȗڂɓ܂D

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uҁFProf. Prof. Tobias Ekholm (University of Uppsala)

ځFLegendrian n-knots in Euclidean space

Abstract: The standrard contact structure on $\R^{2n+1}$ is the hyperplane field $\xi=\{dz-\sum y_idx_i=0\}$. A Legendrian $n$-knot is an embedding of of $S^n$ into $R^{2n+1}$ which is everywhere tangent to $\xi$. In 1997 Chekanov and Eliashberg showed that there exist topologically isotopic $1$-knots with the same classical invariants (Maslov-index and Thurston-Bennequin invariant) which are not Legendrian isotopic. This was acheived using contact homology. In this talk we shall describe contact homology for Legendrian $n$-knots. Using it we establish the existence of new infinite families of non-trivial Legendrian $n$-knots. In particular, this proves the existence of knotted Legendrian $n$-knots in Euclidean space for $n$-even.

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uҁFProf. Jennifer Schultens (Emory University)

ځF̓ Schultens ɘ_

"M.Scharlemann, J.Schultens, Annuli in generalized Heegaard splittongs and degeneration of tuunel number, Math. Ann. 317(2000), 783--820"

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ځFVolume of 2-cusped orientable hyperbolic 3-manifolds

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ځFIntroduction to twist maps

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uҁF@Hg G(RIMS)

ځFCanonical decompositions of hyperbolic 3-manifolds obtained by Dehn surgeries on two cusped hyperbolic 3-manifolds

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uҁFProf. Cristian Kassel (Universit\'e Louis Pasteur)

ځFLinear ordering on braid groups

Abstract: In the beginning of the 1990's, P. Dehornoy, investigating selfdistributive systems, constructed a linear ordering on Artin's braid groups. Selfdistributive systems are sets equipped with a binary law satisfying the identity x(yz) = (xy)(xz). Such systems came up in the study of a large cardinal axiom in set theory.
In this talk (which is an English version of the talk I gave in November 1999 at the Bourbaki Seminar in Paris) I present Dehornoy's work and its unexpected link with set theory.
I also survey a recent geometric construction of Dehornoy's ordering.

Reference: http://www-irma.u-strasbg.fr/irma/publications/1999/99050.ps.gz
(French)

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ځFFinite type invariants and clasper surgeries(2)

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ځFDoubly primitive knots by J.Berge

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ځFFinite type invariants and clasper surgeries(1)

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uҁFProf. Martin Scharlemann (U. California, Santa Barbara)

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He talked, as a sequal of the last talk, about the paper:

"Producing reducible 3-manifolds by surgery on a knot, Topology 29(1990), 481--500"

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He gava a talk on some strange behaviers of knots and links under Murasugi sum along compressible Seifert surfaces.

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uҁFProf. Martin Scharlemann (U. California, Santa Barbara)

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"Producing reducible 3-manifolds by surgery on a knot, Topology 29(1990), 481--500"

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