Results 21 to 30 of about 7,234 (101)
Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on Rn∩(Rk×−1Rn−k)$\mathbb {R}^n\cap (\mathbb {R}^{k}\times \sqrt {-1}\mathbb {R}^{n-k})$ inside Cn$\mathbb {C}
J. ‐P. Chassé, J. Hicks, Y. J. Nho
wiley +1 more source
On the Equivalence Problem for Toric Contact Structures on S^3-bundles over S^2$
, 2012 We study the contact equivalence problem for toric contact structures on $S^3$-bundles over $S^2$. That is, given two toric contact structures, one can ask the question: when are they equivalent as contact structures while inequivalent as toric contact ...
Banyaga +11 more
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The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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Higher algebraic structures in Hamiltonian Floer theory I
, 2019 This is the first of two papers devoted to showing how the rich algebraic formalism of Eliashberg-Givental-Hofer's symplectic field theory (SFT) can be used to define higher algebraic structures on the symplectic cohomology of open symplectic manifolds ...
Fabert, Oliver
core +3 more sources
On contact 3‐manifolds that admit a nonfree toric action
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Cylindrical contact homology of subcritical Stein-fillable contact manifolds
, 2004 We use contact handle decompositions and a stabilization process to compute the cylindrical contact homology of a subcritical Stein-fillable contact manifold with vanishing first Chern class, and show that it is completely determined by the homology of
Yau, Mei-Lin
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Model category structures on truncated multicomplexes for complex geometry
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici +2 more
wiley +1 more source
The contact cut graph and a Weinstein L$\mathcal {L}$‐invariant
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We define and study the contact cut graph which is an analogue of Hatcher and Thurston's cut graph for contact geometry, inspired by contact Heegaard splittings (Giroux, Proceedings of the International Congress of Mathematicians, Beijing, 2002; Torisu, Internat. Math. Res. Notices (2000), 441–454).
Nickolas A. Castro +5 more
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