Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Naichung Conan Leung"'
This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric ana
Autor:
NaiChung Conan Leung, YuTung Yau
Publikováno v:
Communications in Mathematical Physics. 397:875-900
In this paper, we study quantization on a compact integral symplectic manifold $X$ with transversal real polarizations. In the case of complex polarizations, namely $X$ is K\"ahler equipped with transversal complex polarizations $T^{1, 0}X, T^{0, 1}X
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d6919b2edef3e21b58d9725a9f503ba
https://doi.org/10.1007/s00220-022-04503-w
https://doi.org/10.1007/s00220-022-04503-w
Autor:
Chi Hong Chow, Naichung Conan Leung
Publikováno v:
Journal of Symplectic Geometry. 20:813-835
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8b0ec7220306cb7d33e219fbe808ea9
https://doi.org/10.4310/jsg.2022.v20.n4.a2
https://doi.org/10.4310/jsg.2022.v20.n4.a2
Publikováno v:
Asian Journal of Mathematics. 24:783-802
Every compact symmetric space $M$ admits a dual noncompact symmetric space $\check{M}$. When $M$ is a generalized Grassmannian, we can view $\check{M}$ as a open submanifold of it consisting of space-like subspaces \cite{HL}. Motivated from this, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df05bd2b763d9e79abc7f7f544967de6
https://doi.org/10.4310/ajm.2020.v24.n5.a3
https://doi.org/10.4310/ajm.2020.v24.n5.a3
Publikováno v:
Journal of Differential Geometry. 118
The wedge product on de Rham complex of a Riemannian manifold $M$ can be pulled back to $H^\ast (M)$ via explicit homotopy constructed by using Green’s operator which gives higher product structures. We prove Fukaya’s conjecture which suggests th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a11aee4bfaab7519a7d36fb7c602ba4
https://doi.org/10.4310/jdg/1625860622
https://doi.org/10.4310/jdg/1625860622
Publikováno v:
International Mathematics Research Notices
We further develop the asymptotic analytic approach to the study of scattering diagrams. We do so by analyzing the asymptotic behavior of Maurer-Cartan elements of a differential graded Lie algebra constructed from a (not-necessarily tropical) monoid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16aa6d98b65dccdde4c396d1d029eb22
https://doi.org/10.1093/imrn/rnz220
https://doi.org/10.1093/imrn/rnz220
Autor:
Naichung Conan Leung, Shilin Yu
Publikováno v:
Duke Mathematical Journal. 170
The purpose of this paper is to apply deformation quantization to the study of the coadjoint orbit method in the case of real reductive groups. We first prove some general results on the existence of equivariant deformation quantization of vector bun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39932c94629efb628085f4f24589b016
https://doi.org/10.1215/00127094-2020-0066
https://doi.org/10.1215/00127094-2020-0066
Publikováno v:
Jiang, Q, Leung, N C & Xie, Y 2021, ' Categorical Plücker Formula and Homological Projective Duality ', Journal of the European Mathematical Society, vol. 23, no. 6, pp. 1859-1898 . https://doi.org/10.4171/JEMS/1045
Homological Projective duality (HP-duality) theory, introduced by Kuznetsov [42], is one of the most powerful frameworks in the homological study of algebraic geometry. The main result (HP-duality theorem) of the theory gives complete descriptions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::651c13e4c7326778d4a940932f142cf1
https://www.pure.ed.ac.uk/ws/files/134841967/1704.01050v1.pdf
https://www.pure.ed.ac.uk/ws/files/134841967/1704.01050v1.pdf
This paper is devoted to Hardy inequalities concerning distance functions from submanifolds of arbitrary codimensions in the Riemannian setting. On a Riemannian manifold with non-negative curvature, we establish several sharp weighted Hardy inequalit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06db539209f722a2a12f95d2be2ec075
http://arxiv.org/abs/2009.09478
http://arxiv.org/abs/2009.09478
Fedosov used flat sections of the Weyl bundle on a symplectic manifold to construct a star product $\star$ which gives rise to a deformation quantization. By extending Fedosov's method, we give an explicit, analytic construction of a sheaf of Bargman
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e57c257cfbd5d50664a0f99f994b0bc
http://arxiv.org/abs/2008.11496
http://arxiv.org/abs/2008.11496