Results 21 to 30 of about 257,749 (139)

Symplectic resolutions, symplectic duality, and Coulomb branches

open access: yesBulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1515-1551, October 2022., 2022
Abstract Symplectic resolutions are an exciting new frontier of research in representation theory. One of the most fascinating aspects of this study is symplectic duality: the observation that these resolutions come in pairs with matching properties. The Coulomb branch construction allows us to produce and study many of these dual pairs.
Joel Kamnitzer
wiley   +1 more source

Hyperkähler isometries of K3 surfaces

open access: yesJournal of High Energy Physics, 2020
We consider symmetries of K3 manifolds. Holomorphic symplectic automorphisms of K3 surfaces have been classified, and observed to be subgroups of the Mathieu group M 23.
Anindya Banerjee, Gregory W. Moore
doaj   +1 more source

Asymptotic geometry of the moduli space of parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundles

open access: yesJournal of the London Mathematical Society, Volume 106, Issue 2, Page 590-661, September 2022., 2022
Abstract Given a generic stable strongly parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundle (E,φ)$({\mathcal {E}}, \varphi )$, we describe the family of harmonic metrics ht$h_t$ for the ray of Higgs bundles (E,tφ)$({\mathcal {E}}, t \varphi )$ for t≫0$t\gg 0$ by perturbing from an explicitly constructed family of approximate solutions ...
Laura Fredrickson   +3 more
wiley   +1 more source

A compact non‐formal closed G2 manifold with b1=1$b_1=1$

open access: yesMathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022
Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
wiley   +1 more source

sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system

open access: yesJournal of Topology, Volume 15, Issue 1, Page 1-38, March 2022., 2022
Abstract We define and parametrize so‐called sl(2)$\mathfrak {sl}(2)$‐type fibres of the Sp(2n,C)$\mathsf {Sp}(2n,\mathbb {C})$‐ and SO(2n+1,C)$\mathsf {SO}(2n+1,\mathbb {C})$‐Hitchin system. These are (singular) Hitchin fibres, such that spectral curve establishes a 2‐sheeted covering of a second Riemann surface Y$Y$.
Johannes Horn
wiley   +1 more source

Complete moduli of cubic threefolds and their intermediate Jacobians

open access: yesProceedings of the London Mathematical Society, Volume 122, Issue 2, Page 259-316, February 2021., 2021
Abstract The intermediate Jacobian map, which associates to a smooth cubic threefold its intermediate Jacobian, does not extend to the GIT compactification of the space of cubic threefolds, not even as a map to the Satake compactification of the moduli space of principally polarized abelian fivefolds.
Sebastian Casalaina‐Martin   +3 more
wiley   +1 more source

All (4,0): Sigma models with (4,0) off-shell supersymmetry

open access: yesJournal of High Energy Physics, 2017
Off-shell (4, 0) supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkähler with torsion.
Chris Hull, Ulf Lindström
doaj   +1 more source

Non-toric cones and Chern-Simons quivers

open access: yesJournal of High Energy Physics, 2017
We obtain an integral formula for the volume of non-toric tri-Sasaki Einstein manifolds arising from nonabelian hyperkähler quotients. The derivation is based on equivariant localization and generalizes existing formulas for Abelian quotients, which lead
P. Marcos Crichigno, Dharmesh Jain
doaj   +1 more source

Deformation Principle and André motives of Projective Hyperkähler Manifolds [PDF]

open access: yesInternational mathematics research notices, 2019
Let $X_1$ and $X_2$ be deformation equivalent projective hyperkähler manifolds. We prove that the André motive of $X_1$ is abelian if and only if the André motive of $X_2$ is abelian. Applying this to manifolds of $\mbox {K3}^{[n]}$, generalized Kummer
A. Soldatenkov
semanticscholar   +1 more source

Instantons on hyperkähler manifolds [PDF]

open access: yesAnnali di Matematica Pura ed Applicata, 2018
An instanton ( E ,  D ) on a (pseudo-)hyperkähler manifold M is a vector bundle E associated with a principal G -bundle with a connection D whose curvature is pointwise invariant under the quaternionic structures of $$T_x M,~x\in M$$ T x M , x ∈ M , and ...
C. Devchand, M. Pontecorvo, A. Spiro
semanticscholar   +2 more sources

Home - About - Disclaimer - Privacy