Results 81 to 90 of about 45,480 (208)

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Equivariant formality in complex-oriented theories

Forum of Mathematics, Sigma
Let G be a product of unitary groups and let (M,ω) $(M,\omega )$ left parenthesis upper M comma omega right parenthesis be a compact symplectic manifold with Hamiltonian G-action.
Shaoyun Bai, Dan Pomerleano
doaj   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Difference equations: From Berry connections to the Coulomb branch

SciPost Physics
In recent work, we demonstrated that a spectral variety for the Berry connection of a 2d $\mathcal{N}=(2,2)$ GLSM with Kähler vacuum moduli space $X$ and Abelian flavour symmetry is the support of a sheaf induced by a certain action on the equivariant ...
Andrea E. V. Ferrari, Daniel Zhang
doaj   +1 more source

Spectrum of equivariant cohomology as a fixed point scheme [PDF]

Épijournal de Géométrie Algébrique
An action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points.
Tamás Hausel, Kamil Rychlewicz
doaj   +1 more source

Recognising flag varieties and reductive groups

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski, Nicholas Shepherd‐Barron   +1 more
wiley   +1 more source

Chevalley-Monk and Giambelli formulas for Peterson Varieties [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
A Peterson variety is a subvariety of the flag variety $G/B$ defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows.
Elizabeth Drellich
doaj   +1 more source

Equivariant cohomology of projective spaces

Algebraic & Geometric Topology
We compute the equivariant homology and cohomology of projective spaces with integer coefficients. More precisely, in the case of cyclic groups, we show that the cellular filtration of the projective space $P(kρ)$, of lines inside copies of the regular representation, yields a splitting of $H\underline{\mathbb{Z}}\bigwedge P(kρ)_+$ as a wedge of ...
Basu, Samik, Dey, Pinka, Karmakar, Aparajita   +2 more
openaire   +2 more sources

Syntomic cohomology and real topological cyclic homology

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley   +1 more source