Advances in Mathematics

By X. Dai, Weiping Zhang. 2015

434 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/314095da15bd68b1ee68ea72ea3cc1ef1c786a0e

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Citations in the corpus

The global non-linear stability of the Kerr-de Sitter family of black holes (2016, methodology): “Previously, on Schwarzschild–de Sitter space, Bachelot [Bac91] set up the functional analytic scattering theory, and Sá Barreto–Zworski [SBZ97] and Bony–Häfner [BH08] studied resonances and decay away from the event horizon; Melrose, Sá Barreto and Vasy [MSBV14b] proved exponential decay to const”
Calabi–Yau and fractional Calabi–Yau categories (2015, background): “This conjecture is clearly true in dimension 1 since all semiorthogonal components of curves have been classified (see [Oka11]).”
K-stability for Fano manifolds with torus action of complexity $1$ (2015, background): “1 of [Süß13] as a corollary, since the notion of symmetry established there implies the vanishing of the Futaki invariant FX .”
Symbolic Powers of Ideals (2015, methodology): “5 (Varbaro [Var11], Minh-Trung [MT11a](3)).”
Hierarchically hyperbolic spaces II: Combination theorems and the distance formula (2015, background): “Presumably, a positive answer to Question B would involve the measured wallspace structure on median spaces discussed in [CDH10].”
Interlacing families II: Mixed characteristic polynomials and the Kadison{Singer problem (2013, methodology): “Evidence for our conjecture may be found in the work of Gurvits [31], [32], who proves that when m = d , the constant term of the mixed polynomial is minimized when each A i equals I/d .”
Higher spin six vertex model and symmetric rational functions (2016, background): “The idea that summation identities for symmetric functions lead to interesting probability measures dates back at least to [Ful97], [Oko01], and it was further developed in [OR03], [Vul07], [Bor11], [BC14], [BCGS16].”
The Conway knot is not slice (2018, background): “Other powerful invariants are conjectured to be preserved by mutation, such as Khovanov homology [BN05] and the δ-graded knot Floer groups [BL12].”
Local duality in algebra and topology (2015, background): “We now briefly recall the theory of algebraic stacks, following [Nau07].”