No.1172
Volume Conjecture ‚ÌŒ»ó
Recent Progress Towards the Volume Conjecture
’ZŠú‹¤“¯Œ¤‹†•ñW
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2000/03/14`2000/03/17
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Hitoshi Murakami
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1. “ñd‰»Œ‹‚Ñ–Ú‚Ìcolored Jones‘½€Ž®‚ÌŒvŽZ•û–@‚ɂ‚¢‚Ä (Volume Conjecture‚ÌŒ»ó)-----------------------------------------------------1
@@@@¹S—Žq‘åŠw•¶Šw•”@@@‰ª–{ ”üá@(Okamoto,Miyuki)
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2. $L^2$-torsion of 3-manifolds (Recent Progress Towards the Volume Conjecture)------------------------------------------------------8
@@@@“Œ‹žH‹Æ‘åŠw—HŠwŒ¤‹†‰È/“Œ‹žH‹Æ‘åŠwî•ñ—HŠwŒ¤‹†‰È/“Œ‹ž‘åŠw”—‰ÈŠwŒ¤‹†‰È@@@–k–ì W˜N/‚‘ò Œõ•F/X“¡ F”V@(Kitano,Teruaki/Takasawa,Mitsuhiko/Morifuji,Takayuki)
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3. ON THE COLORED JONES POLYNOMIALS OF SOME SIMPLE LINKS (Recent Progress Towards the Volume Conjecture)----------------------------34
@@@@“Œ‹ž‘åŠw”—‰ÈŠwŒ¤‹†‰È@@@—tL ˜a•v@(Habiro,Kazuo)
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4. Notes on Construction of the Knot Invariant from Quantum Dilogarithm Function (Recent Progress Towards the Volume Conjecture)----44
@@@@“Œ‹ž‘åŠw—ŠwŒnŒ¤‹†‰È•¨—ŠwêU@@@”óã ˜aO@(Hikami,Kazuhiro)
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5. OPTIMISTIC CALCULATIONS ABOUT THE WITTEN-RESHETIKHIN-TURAEV INVARIANTS OF CLOSED THREE-MANIFOLDS OBTAINED FROM THE FIGURE-EIGHT KNOT BY INTEGRAL DEHN SURGERIES (Recent Progress Towards the Volume Conjecture)---70
@@@@“Œ‹žH‹Æ‘åŠw—HŠwŒ¤‹†‰È@@@‘ºã Ä@(Murakami,Hitoshi)
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