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作者:Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski
来源:[J].Acta Mathematica(IF 2.714), 2019, Vol.222 (1)波士顿国际出版社
摘要:We prove in this paper the linear stability of the celebrated Schwarzschild family of black holes in general relativity: Solutions to the linearisation of the Einstein vacuum equations (“linearised gravity”) around a Schwarzschild metric arising from regular initial data rem...
作者:Thomas Nikolaus , Peter Scholze
来源:[J].Acta Mathematica(IF 2.714), 2019, Vol.222 (1)波士顿国际出版社
摘要:A few misprints occurred in the paper, due to technical typesetting problems. The editorial staff of Acta Mathematica apologizes for the mistake. The online version has been corrected. Corrections to the printed version are provided here.
作者:Edward Witten
来源:[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2019, Vol.15 (1)波士顿国际出版社
摘要:These are notes on the theory of supermanifolds and integration on them, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.
作者:Edward Witten
来源:[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2019, Vol.15 (1)波士顿国际出版社
摘要:Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multiloop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and have the expected infrared behavior. The m...
作者:Edward Witten
来源:[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2019, Vol.15 (1)波士顿国际出版社
摘要:This article is devoted to an overview of superstring perturbation theory from the point of view of super Riemann surfaces. We aim to elucidate some of the subtleties of superstring perturbation that caused difficulty in the early literature, focusing on a concrete example—t...
作者:Edward Witten
来源:[J].Pure and Applied Mathematics Quarterly(IF 0.718), 2019, Vol.15 (1)波士顿国际出版社
摘要:These are notes on the theory of super Riemann surfaces and their moduli spaces, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.
作者:Yunhyung Cho , Min Kyu Kim
来源:[J].Journal of Symplectic Geometry(IF 0.974), 2019, Vol.16 (6)波士顿国际出版社
摘要:Let $(M, \omega)$ be a $6$-dimensional closed symplectic manifold with a Hamiltonian $T^2$-action. We show that if the action is GKM and its GKM graph is index-increasing, then $(M, \omega)$ satisfies the hard Lefschetz property.
作者:Min Hoon Kim , Kyungbae Park
来源:[J].Journal of Symplectic Geometry(IF 0.974), 2019, Vol.16 (6)波士顿国际出版社
摘要:We show that there exists a $\mathbb{Z}^{\infty}$-summand in the subgroup of the knot concordance group generated by knots with trivial Alexander polynomial. We use the $\Upsilon$-invariant introduced by Ozsváth, Stipsicz and Szabó. For our computation, we give a sufficient ...
作者:Joel W. Fish , Richard Siefring
来源:[J].Journal of Symplectic Geometry(IF 0.974), 2019, Vol.16 (6)波士顿国际出版社
摘要:We consider a $3$-manifold $M$ equipped with a nondegenerate contact form $\lambda$ and compatible almost complex structure $J$. We show that if the data $(M, \lambda, J)$ admits a stable finite energy foliation, then for a generic choice of distinct points $p, q \in M$, the mani...
作者:Peter Albers , Will J. Merry
来源:[J].Journal of Symplectic Geometry(IF 0.974), 2019, Vol.16 (6)波士顿国际出版社
摘要:We study Liouville fillable contact manifolds $(\Sigma, \xi)$ with non-zero and spectrally finite Rabinowitz Floer homology and assign spectral numbers to paths of contactomorphisms. As a consequence we prove that $\widetilde{\mathrm{Cont}_0} (\Sigma, \xi)$ is orderable in the se...

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