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 AuXgNg V@ĕFicw D2j Quantum Invariants for Handlebody-Knots via Yokota's Invariants A handlebody-knot is represented by a trivalent spatial graph that have a regular neighborhood which is ambient isotopic to the handlebody-knot. In this talk, we define quantum invariants for handlebody-knots in a 3-sphere using Yokota's invariants, which are the invariants for spatial graphs. We also see properties of the invariants. 14:40-15:00 @Ɂi_ˑw M2j іڂ̃Ot_I Diao-Ernst-Yu ̌ɂC^ꂽіڂɂāC̎ˉe}̂ȂɂHamiltonian Ot 邱ƂmĂDŏCǂ̒x𑝂₹΁CHamiltonian Ot邩ɂāC Diao-Ernst-Yu ̌ʂ]^D 15:30-18:30 @aliw D3j Estimation for Hempel distances and a nonminimal unstabilzed bridge decomposition of a knot Hempel distance is a measure of complexity for bridge decompositions of knots. In particular, a bridge decomposition with the Hempel distance greater than one is unstabilized. In the first half of this talk, we propose a method to ensure that the Hempel distance is greater than one. In the latter half, we apply it to give an example of a nonminimal unstabilzed bridge decomposition of a knot. @GriHƑw D1j On the number of hyperbolic 3-manifolds of the same volume Let $N(v)$ be the number of hyperbolic 3-manifolds whose volumes are $v$. By the work of Jorgensen and Thurston, $N(v)$ is always finite. We construct, by using link complements, a sequence of volumes $\{v_n\}$ such that $N(v_n)/v_n$ grows at least exponentially. Dz@iޗǏqw D3j Pseudo-fiber surface and unknotting operation for fibered links In [Ko], it is shown that the unknotting operations for unknotting number 1 fibered knots are realized by twists on fiber surfaces, which produce pre- fiber surfaces. In this talk, we propose a formulation generalizing the result for fibered links with unknotting numbers 2, that is, ascending sequence of pseudo-fiber surfaces. Then we show that how it works for torus knots. [Ko] T. Kobayashi, Fibered links and unknotting operations, Osaka J.Math. 26 (1989), 699-742 @FiޗǏqw M2j 2d핢Ԃfull graph manifoldƂȂ4-bridge linkɂ Linkn-bridgéC2d핢ʂĕ3l̂genus (n-1) HeegaardƑΉ邱ƂmĂD̊ϓ_CJang3-bridge link̒œɂ2d핢Ԃ񎩖ȃg[Xe3 l̂ƂȂĂ悤Ȃ̂ɂČĂ[Ja]D̕񍐂ł́Č ̕ɉāC2d핢Ԃg[Xɂ6Seifert fibered manifoldɕ悤4-bridge link݂邱ƂЉD [Ja] Y.Jang, Classification of 3-bridge arborescent links, Hiroshima Math. J. 41 (2011), 89-136. @iVw 猤j Composite handlebody-knots nĥ̂Rʂւ̖ߍ݂nȟіڂƂD EȊOnȟіڂ́CQʂɂC ǏIɎȃnȟіڂƂ̑fȌіڂ̐ߖTɁC ӓIɕ邱Ƃ܂ĎnƂāCȎ퐔Q̃nȟіڂ ӓIȂQƂ܂DiȏCΈ ֎Cݖ{ ᎁƂ̋j Ȏ퐔Q̃nȟіڂŁCglPCO퐔R q[K[h̂ɑ΂āCQ̊efq̌܂D iȏCMario Eudave-MunozƂ̋j gc@iʑw M1j On shortest pathways of unlinking by Xer-dif-FtsK іڗ_DNǍɉpЉDDNA͌іڂ◍ݖڂƂȂĂD qg݊yfXerFtsKƂƂɁCsdiffʂDNAg[XݖڂƂŎĂD ̍pband surgerypăfD܂ł̌Ō_PɌꍇ̌oH̓tĂD ̌ł́C_ȂƂꍇ6-cat̗ݖډŒZoH肵C̃JjYl@D ̌́CΌ CCMariel VazquezC q玁Ƃ̋łD J@i_ˑw M2j The writhes of a virtual knot Oriented virtual knot̕sϗʂƂ$n$-writhe $J_n(K)$D ́Codd writhe̐łCindex polynomiaľWƊ֌WD {uł́C$J_n(K)$ɂčl@ꂽʂɂďqׂD {ˁ@EiÉHƑw D1j ݖڂ̃ANT_[̃peBɂ іڂ̃ANT_[$\pm 1$lɊւāC̐Βl 悭mĂC͋̕CɂĂȂDANT_[ $\pm 1$C̐ς̕lCꂪsignatureƊ֌W 邱Ƃ܂qׂDɗݖڂ̍א쑽ɂĂlɕ`C 肵ƂqׂD ÉFc@IƁikw w@wȁj nȟіڂ̃Vg[Q 3 l $M$ ɖߍ܂ꂽnh $V$ nȟіڂƂԁDnȟі $(M, V)$ ɑ΂C̑΂̓ʑ̃C\gs[ނ̂ȂQCȂ킿 $\pi_0( \mathrm{Homeo}(M, V))$ nĥ̃Vg[QƂԂƂɂƁC͌іڂ̃Vg[Q Heegaard Goeritz Q̊gƂ݂ȂƂłD{uł́C3 ʂ⃌Yԓ̃nȟіڂ̃Vg[Q̗L\ɂāC Goeritz Q̌Ɋ֌W_𒆐Sɘ_Duëꕔ́CS. Cho iHanyang wjƂ̋ɊÂD