Counting essential surfaces in a closed hyperbolic three-manifold

Counting essential surfaces in a closed hyperbolic three-manifold
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计算闭双曲三流形中的基本表面

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
V. Marković
V. Marković
中科院分区:
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文献类型:
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作者:
Jeremy A. Kahn;V. Marković

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设M^3是一个闭的双曲三流形。我们证明了π_1(M^3)的亏格g曲面子群的个数象g^(2g)一样增长.
Let M^3 be a closed hyperbolic three-manifold. We show that the number of genus g surface subgroups of π_1(M^3) grows like g^(2g).