Results 41 to 50 of about 2,340 (109)

From Monge-Ampere equations to envelopes and geodesic rays in the zero temperature limit [PDF]

, 2017
Let X be a compact complex manifold equipped with a smooth (but not necessarily positive) closed form theta of one-one type. By a well-known envelope construction this data determines a canonical theta-psh function u which is not two times differentiable,
Berman, Robert J.
core  

Non trivial examples of coupled equations for K\"ahler metrics and Yang-Mills connections

, 2011
We provide non trivial examples of solutions to the system of coupled equations introduced by M. Garc\'ia-Fern\'andez for the uniformization problem of a triple $(M,L,E)$ where $E$ is a holomorphic vector bundle over a polarized complex manifold $(M,L)$,
Keller, Julien, Tønnesen-Friedman, Christina W.   +1 more
core   +3 more sources

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Continuity of HYM connections with respect to metric variations

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley   +1 more source

SU(3)-instantons and $G_2, Spin(7)$-heterotic string solitons

, 2005
Necessary and sufficient conditions to the existence of a hermitian connection with totally skew-symmetric torsion and holonomy contained in SU(3) are given.
Agricola, Alessandrini, Alexandrov, Alexandrov, Apostolov, Becker, Belgun, Bismut, Bonan, Bryant, Bryant, Cabrera, Cabrera, Cardoso, Carrin, Corrigan, Fernandez, Fernandez, Fernández, Freedman, Friedrich, Friedrich, Friedrich, Friedrich, Fubini, Gauduchon, Gauntlett, Gauntlett, Gibbons, Gillard, Goldstein, Gray, Gray, Gurrieri, Gutowski, Günaydin, Harvey, Harvey, Ivanov, Ivanov, Joyce, Joyce, Kachru, Kirichenko, Kovalev, Malcev, Petar Ivanov, Stefan Ivanov, Strominger, Ugarte, Wit   +50 more
core   +1 more source

Simply connected positive Sasakian 5‐manifolds

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We investigate closed simply connected 5‐manifolds capable of hosting positive Sasakian structures. We present a conjectural comprehensive list of such manifolds.
Dasol Jeong, Jihun Park, Joonyeong Won
wiley   +1 more source

Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
doaj   +1 more source

Equidistribution of zeros of holomorphic sections in the non compact setting

, 2012
We consider N-tensor powers of a positive Hermitian line bundle L over a non-compact complex manifold X. In the compact case, B. Shiffman and S. Zelditch proved that the zeros of random sections become asymptotically uniformly distributed with respect to
A. Andreotti, A. Andreotti, A. Andreotti, A. Borel, A. Fujiki, A. Nadel, B. Shiffman, B. Shiffman, D. Catlin, E. Bogomolny, G. Tian, G. Tian, George Marinescu, H. Triebel, I. Satake, J.E. Fornæss, J.H. Hannay, J.M. Bismut, J.P. Demailly, L.A. Shepp, M. Méo, M. Sodin, N. Mok, N. Mok, P. Bleher, P. Bleher, P. Griffiths, P.D. Nelson, R. Holowinsky, R. Kobayashi, R.J. Berman, S. Nonnenmacher, S. Zelditch, S.Y. Cheng, T. Bloom, T.C. Dinh, T.C. Dinh, Tien-Cuong Dinh, V. Vâjâitu, Viktoria Schmidt, W.D. Ruan, W.L. Baily, X. Ma, X. Ma, Z. Rudnick, Z. Rudnick   +45 more
core   +1 more source

Stability of non-supersymmetric vacua from calibrations

Journal of High Energy Physics
Supersymmetric vacua are protected from vacuum decay by energy positivity. No such argument is known for any non-supersymmetric vacua. In this paper, we try to extend to the latter a simpler argument based on calibrations, to at least protect them from ...
Vincent Menet, Alessandro Tomasiello
doaj   +1 more source

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact ...
Mancho Manev
doaj   +1 more source