Results 11 to 20 of about 257,471 (64)
Arithmetic and metric aspects of open de Rham spaces
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 958-1027, October 2023., 2023 Abstract In this paper, we determine the motivic class — in particular, the weight polynomial and conjecturally the Poincaré polynomial — of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on the trivial rank n$n$ bundle on P1$\mathbb {P}^1$.
Tamás Hausel +2 more
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Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor
Mathematische Nachrichten, Volume 296, Issue 7, Page 2975-3002, July 2023., 2023 Abstract We show that the stability conditions on the Kuznetsov component of a Gushel–Mukai threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL2+(R)$\text{GL}^+_2(\operatorname{\mathbb {R}})$.
Laura Pertusi, Ethan Robinett
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On the BPS Sector in AdS3/CFT2 Holography
Fortschritte der Physik, Volume 71, Issue 4-5, May 2023., 2023 Abstract The BPS sector in AdS3/CFT2$AdS_3/CFT_2$ duality has been fertile ground for the exploration of gauge/gravity duality, from the match between black hole entropy and the CFT elliptic genus to the construction of large families of geometrical microstates and the identification of the corresponding states in the CFT.
Emil J. Martinec +2 more
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Twisted cotangent bundle of Hyperkähler manifolds (with an appendix by Simone Diverio)
Journal de l'École polytechnique. Mathématiques, 2021 — Let X be a Hyperkähler manifold, and let H be an ample divisor on X. We give a lower bound in terms of the Beauville–Bogomolov–Fujiki form q(H) for the pseudoeffectivity of the twisted cotangent bundle ΩX ⊗H.
F. Anella, A. Höring
semanticscholar +1 more source
A Teichmüller space for negatively curved surfaces
Proceedings of the London Mathematical Society, Volume 126, Issue 3, Page 900-922, March 2023., 2023 Abstract We first describe the action of the fundamental group of a closed surface Σ$\Sigma$ of variable negative curvature on the oriented geodesics in its universal covering in terms of a naturally defined flat connection whose holonomy lies in the group of Hamiltonian diffeomorphisms of S1×R$S^1\times \mathbf {R}$.
Nigel Hitchin
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Symplectic resolutions, symplectic duality, and Coulomb branches
Bulletin 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
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Journal 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
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A compact non‐formal closed G2 manifold with b1=1$b_1=1$
Mathematische 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
Journal 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
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Complete moduli of cubic threefolds and their intermediate Jacobians
Proceedings 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