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)
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)
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关于通过积分 DEHN 手术从八字结获得的闭合三流形的 WITTEN-RESHETIKHIN-TURAEV 不变量的乐观计算（体积猜想的最新进展）
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发表时间：
2000
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通讯作者：
村上 斉
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作者：
村上 斉
我乐观地计算了三个流形的WRT$SU(2)$不变量的渐近行为，从这些不变量中可以提取体积和这些闭流形的Chern-Simons不变量。我猜想这也适用于一般的闭三维流形。
I calculate optimistically asymptotic behaviors of the WRT $SU(2)$ invariants for the three-manifolds obtained from the figure-eight knot by psurgeries with $p=0,1,2,$ $ldots,$ $10$ , from which one can extract volumes and the Chern-Simons invariants of these closed manifolds. I conjecture that this also holds for general closed three-manifolds.