1999 Nara Topology Seminar
擔 帪丗侾俀寧侾俈擔乮嬥乯乣侾俉擔(搚)
応強丗撧椙彈巕戝妛棟妛晹俠搹係奒戞堦僙儈僫乕幒
(偄偮傕偲応強偑堘偄傑偡丏偛拲堄偔偩偝偄丏乯
侾俀寧侾俈擔乮嬥乯
10丗30乣12丗30 彫椦 婤乮撧椙彈巕戝妛乯
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乽Strong K-irreducibility of Heegaard splittings
(Orbifold version of Casson-Gordon's Theorem, and
Scharlemann's Theorem)(1)乿
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1丗30乣5丗00 椦 拤堦榊巵乮妛廗堾戝妛乯
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乽$1$-genus $1$-bridge splittings for knots in the $3$-sphere
and lens spaces (1)乿
侾俀寧侾俉擔乮搚乯
10丗30乣12丗30 椦 拤堦榊巵乮妛廗堾戝妛乯
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乽$1$-genus $1$-bridge splittings for knots in the $3$-sphere
and lens spaces (2)乿
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1丗30乣 彫椦 婤乮撧椙彈巕戝妛乯
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乽Strong K-irreducibility of Heegaard splittings
(Orbifold version of Casson-Gordon's Theorem, and
Scharlemann's Theorem)(2)乿
乮侾俉擔乮搚乯偺僾儘僌儔儉偼曄峏偺壜擻惈偑偁傝傑偡丏乯
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慜夞偺撧椙彈巕戝妛僩億儘僕乕僙儈僫乕偱搑拞宱夁偺徯夘偑
偁偭偨椦巵偺尋媶偑偦偺屻傎傏姰惉偟偨偲偺偙偲偱偡丏崱夞
偺僙儈僫乕偱偼偦偺徻嵶傪徯夘偟偰偄偨偩偔偮傕傝偱偡丏
擔 帪丗
侾侾寧侾擔乮寧乯屵慜 10丗30乣
侾侾寧俀擔乮壩乯屵慜 10丗30乣
応 強丗 撧椙彈巕戝妛棟妛晹俠搹係奒悢妛墘廗幒
島墘幰丗 椦 拤堦榊巵乮妛廗堾戝妛乯
島墘戣栚丗乽Genus one 1-bridge positions for genus one 1-bridge knots(扐偟尋媶搑拞)乿
偙偺僙儈僫乕偼丆尰嵼椦巵偑庢傝慻傫偱偍傜傟傞尋媶偵偮偄偰丆偦偺徻嵶傪
偍暦偒偡傞偲偄偆偺偑栚揑偱偡丏傑偢丆嵟弶偺俁帪娫傎偳偱婛抦偺寢壥
乮Rubinstein & Scharlemann 偺寢壥偲 Kobayashi & Saeki 偺奼挘偺堄媊
側偳乯偵偮偄偰偺徯夘偺屻丆摿庩側応崌偵偮偄偰偺寢壥傪榖偟偰偄偨偩偒
傑偡丏偦偺屻丆堦斒偺応崌偵偮偄偰偺徻嵶傪偍暦偒偡傞丆偲偄偆宍偵偟偨
偄偲巚偄傑偡丏側偍偦偺屻偺晹暘偵偮偒傑偟偰偼丆椦巵傛傝
乽摿偵嫽枴傪帩偭偰壓偝偭偨曽岦偗偵堦斒偺応崌偵偮偄偰偺徻嵶傪偍榖怽
偟忋偘偨偄偲婓朷偟傑偡偑丄尋媶搑拞偱偁傞偙偲偲丄懱椡偺栤戣丄婰壇梕
検偺栤戣傕桳傝丄惍慠偲偟偨榖偼偱偒側偄偐傕偟傟傑偣傫丅乿
偲偺僐儊儞僩傪偄偨偩偄偰偄傑偡丏
擔 帪丗 俈寧俆擔乮嬥乯屵屻 俁丗侽侽
応強丗撧椙彈巕戝妛棟妛晹俠搹係奒悢妛墘廗幒
島墘幰丗 抾撪丂愹 巵乮嫗搒戝妛忣曬岺妛嫵幒乯
島墘戣栚丗乽帺屓憡帡恾宍偺寁嶼検揑暋嶨偝乿
擔 帪丗 係寧俀俁擔乮嬥乯屵屻 侾丗侽侽
応強丗撧椙彈巕戝妛棟妛晹俠搹係奒悢妛墘廗幒
島墘幰丗壨梂 婭巕巵乮撧椙彈巕戝妛丄棫柦娰戝妛乯
戣栚丗乽帺屓憡帡廤崌偺寁嶼壜擻惈丄寁嶼検偵偮偄偰乿
Abstract:
僼儔僋僞儖恾宍傪寁嶼壜擻夝愅偺娤揰偐傜峫嶡偟丄僼儔僋僞儖恾宍偺
暋嶨偝傪昡壙偡傞怴偟偄広搙偲偟偰丄寁嶼検傪採婲偡傞丅
傑偢丄儐乕僋儕僢僪嬻娫忋偺僐儞僷僋僩廤崌偺寁嶼壜擻惈傪掕媊偟丄
偦偺忋偱帺屓憡帡廤崌偑寁嶼壜擻廤崌偱偁傞偨傔偺廫暘忦審傪摼偨丅
師偵丄儐乕僋儕僢僪嬻娫忋偺僐儞僷僋僩廤崌偺寁嶼検傪掕媊偟丄
$P \not= NP$傪壖掕偟偨忋偱丄寁嶼壜擻側帺屓憡帡廤崌偱$P$偺僋儔僗
乮偡側傢偪丄懡崁幃帪娫寁嶼壜擻廤崌偱偁傞乯偵擖傞偨傔偺廫暘忦審
傪摼偨丅
偝傜偵丄寁嶼検偵傛傞僐儞僷僋僩廤崌偺暘椶偑Hausdorff師尦偵傛傞
暘椶偲撈棫偐斲偐傪峫嶡偟丄撈棫偱偁傞偙偲傪柧傜偐偵偟偨丅偡側傢
偪丄暘悢師尦傪傕偮恾宍偺拞偱寁嶼検偑$P$偺僋儔僗偵擖傞傕偺傪帵偟丄
堦曽丄$1$師尦偺恾宍偱$NP-complete$側惈幙傪帩偮恾宍偺懚嵼傪帵偟偨丅
俁寧侾擔乮寧乯乣俀擔(壩)
応強丗撧椙彈巕戝妛棟妛晹C搹4奒悢妛墘廗幒
俁寧侾擔乮寧乯
10丗00乣12丗00 嶳壓 桋巵乮撧椙彈巕戝妛乯
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乽Word hyperbolic group 擖栧(I)乿
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1丗00乣3丗00 徏壀 棽巵乮柭栧嫵堢戝妛乯
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乽僯乕儖僙儞晄摦揰掕棟偲偦偺椡妛宯傊偺墳梡(I)乿
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3:30乣5丗30 徏尦 廳懃巵乮擔杮戝妛乯
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乽嬋柺偺柺愊曐懚幨憸偺巜悢侾偺屌掕揰(I)乿
俁寧俀擔乮壩乯
9丗30乣11丗30 徏壀 棽巵乮柭栧嫵堢戝妛乯
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乽僯乕儖僙儞晄摦揰掕棟偲偦偺椡妛宯傊偺墳梡(II)乿
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12丗30乣2丗30 徏尦 廳懃巵乮擔杮戝妛乯
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乽嬋柺偺柺愊曐懚幨憸偺巜悢侾偺屌掕揰(II)乿
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3:00乣5:00 嶳壓 桋巵乮撧椙彈巕戝妛乯
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乽Word hyperbolic group 擖栧(II)乿
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