Results 11 to 20 of about 257,749 (139)

On Degenerate 3-(α, δ)-Sasakian Manifolds

open access: yesComplex Manifolds, 2022
We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver   +2 more
doaj   +1 more source

P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds

open access: yesForum of Mathematics, Sigma, 2021
We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.
Andrew Harder   +3 more
doaj   +1 more source

Transverse Kähler holonomy in Sasaki Geometry and S-Stability

open access: yesComplex Manifolds, 2021
We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P.   +2 more
doaj   +1 more source

Positivity of Riemann–Roch polynomials and Todd classes of hyperkähler manifolds [PDF]

open access: yesJournal of Algebraic Geometry, 2020
For a hyperkähler manifold X X of dimension 2 n 2n , Huybrechts showed that there are constants a 0 a_0 , a 2 a_2 , …,
Chen Jiang
semanticscholar   +1 more source

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations

open access: yesJournal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023
Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
wiley   +1 more source

Arithmetic and metric aspects of open de Rham spaces

open access: yesProceedings 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
wiley   +1 more source

Twisted cotangent bundle of Hyperkähler manifolds (with an appendix by Simone Diverio)

open access: yesJournal 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

Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor

open access: yesMathematische 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
wiley   +1 more source

On the BPS Sector in AdS3/CFT2 Holography

open access: yesFortschritte 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
wiley   +1 more source

A Teichmüller space for negatively curved surfaces

open access: yesProceedings 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
wiley   +1 more source

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