Scientists / Open questions

威廉·瑟斯顿

William P. Thurston

低维拓扑、双曲几何

1982 年菲尔兹奖

4 个问题

  1. Positive first Betti number of finite covers of random Heegaard splittings (Dunfield-Thurston Questions 4.8 and 9.2 and the non-solvable extension of Theorem 9.1)

  2. The size of spanning disks for unknotted polygonal curves: exponential lower bound versus Cn2C^{n^2} upper bound

  3. Optimal label alphabets and the hypergraph/simplicial extension of the Sleator-Tarjan-Thurston derivation-encoding scheme

  4. Chern's conjecture for closed affine manifolds and the Hopf sign conjecture: the surviving open core of the Hirsch–Thurston Euler-characteristic questions

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