Results 21 to 30 of about 257,749 (139)
Symplectic resolutions, symplectic duality, and Coulomb branches
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
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
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$b_1=1$
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
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
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
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
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]
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]
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