Results 11 to 20 of about 7,184 (85)

On transversally elliptic operators and the quantization of manifolds with $f$-structure

, 2011
An $f$-structure on a manifold $M$ is an endomorphism field $\phi\in\Gamma(M,\End(TM))$ such that $\phi^3+\phi=0$. Any $f$-structure $\phi$ determines an almost CR structure $E_{1,0}\subset T_\C M$ given by the $+i$-eigenbundle of $\phi$.
D. E. Blair, D. E. Blair, D. Quillen, G.B. Folland, J.-M. Souriau, K. Yano, L. I. Nicolaescu, M. F. Atiyah, N. Berline, N. Berline, N. Berline, P.-E. Paradan, S. Dragomir, S. Kumar, Sean Fitzpatrick, V. Mathai   +15 more
core   +1 more source

Non-formal co-symplectic manifolds [PDF]

, 2014
We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product.
Bazzoni, Giovanni, Fernández, Marisa, Muñoz, Vicente   +2 more
core   +2 more sources

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
wiley   +1 more source

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, Aaron Calderon, Carlos Matheus, Nick Salter, Martin Schmoll   +4 more
wiley   +1 more source

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, Muriel Livernet, Sarah Whitehouse   +2 more
wiley   +1 more source

Contact Hypersurfaces in Uniruled Symplectic Manifolds Always Separate

, 2013
We observe that nonzero Gromov-Witten invariants with marked point constraints in a closed symplectic manifold imply restrictions on the homology classes that can be represented by contact hypersurfaces.
Albers, Auroux, Bourgeois, Chris Wendl, Cieliebak, Donaldson, Eliashberg, Fukaya, Geiges, Geiges, Giroux, Hofer, Hyvrier, Li, Lisca, Liu, Lu, Lu, Massot, McDuff, McDuff, Mitsumatsu, Ruan, Ruan, Thom   +24 more
core   +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, Gabriel Islambouli, Jie Min, Sümeyra Sakallı, Laura Starkston, Angela Wu   +5 more
wiley   +1 more source

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

Strongly overtwisted contact 3‐manifolds

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We prove the existence of a subclass of overtwisted contact structures, called strongly overtwisted, on a 3‐manifold that satisfy a complete h$h$‐principle without prescribing the contact structures over any subset of the 3‐manifold. As a consequence, the homotopy type of the space of overtwisted disk embeddings into a strongly overtwisted ...
Eduardo Fernández
wiley   +1 more source