Results 61 to 70 of about 7,311 (162)

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells [PDF]

Geometric and Functional Analysis, 2011
The purpose of this paper is the study of vanishing cycles in holomorphic foliations by complex curves on compact complex manifolds. The main result consists in showing that a vanishing cycle comes together with a much richer complex geometric object - we call this object a foliated shell.
openaire   +3 more sources

On real and imaginary roots of generalised Okamoto polynomials

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
wiley   +1 more source

Crossing estimates for the Ising model on general s‐embeddings

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley   +1 more source

Faber's socle intersection numbers via Gromov–Witten theory of elliptic curve

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2698-2707, September 2025.
Abstract The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of Mg$\mathcal {M}_g$. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck–Pixton on the Gromov–Witten theory of the elliptic curve via a refinement of ...
Xavier Blot, Sergey Shadrin, Ishan Jaztar Singh   +2 more
wiley   +1 more source

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

Dynamics of the absolute period foliation of a stratum of holomorphic\n 1-forms [PDF]

, 2021
Karl Winsor
openalex   +2 more sources

Topological equivalence of holomorphic foliation germs of rank $1$ with isolated singularity in the Poincaré domain [PDF]

, 2016
Thomas Eckl, Michael Lönne
openalex   +2 more sources

Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
wiley   +1 more source

On deformation of foliations with a center in the projective space

Anais da Academia Brasileira de Ciências, 2001
Let be a foliation in the projective space of dimension two with a first integral of the type , where F and G are two polynomials on an affine coordinate, = and g.c.d.(p, q) = 1.
MOVASATI HOSSEIN
doaj