Results 31 to 40 of about 7,184 (85)

An Invitation to Singular Symplectic Geometry [PDF]

open access: yes, 2017
In this paper we analyze in detail a collection of motivating examples to consider $b^m$-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every $b^m$-symplectic structure.
Braddell, Roisin   +4 more
core   +3 more sources

Legendrian non‐isotopic unit conormal bundles in high dimensions

open access: yesJournal of Topology, Volume 18, Issue 3, September 2025.
Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
wiley   +1 more source

Subflexible symplectic manifolds

open access: yes, 2017
We introduce a class of Weinstein domains which are sublevel sets of flexible Weinstein manifolds but are not themselves flexible. These manifolds exhibit rather subtle behavior with respect to both holomorphic curve invariants and symplectic flexibility.
Murphy, Emmy, Siegel, Kyler
core   +1 more source

Jacobian elliptic fibrations on K3s with a non‐symplectic automorphism of order 3

open access: yesMathematische Nachrichten, Volume 298, Issue 5, Page 1758-1788, May 2025.
Abstract Let X$X$ be a K3 surface admitting a non‐symplectic automorphism σ$\sigma$ of order 3. Building on work by Garbagnati and Salgado, we classify the Jacobian elliptic fibrations on X$X$ with respect to the action of σ$\sigma$ on their fibers. If the fiber class of a Jacobian elliptic fibration on NS(X)$\operatorname{NS}(X)$ is fixed by σ$\sigma$,
Felipe Zingali Meira
wiley   +1 more source

Multiphysics Simulation Methods in Computer Graphics

open access: yesComputer Graphics Forum, Volume 44, Issue 2, May 2025.
Abstract Physics simulation is a cornerstone of many computer graphics applications, ranging from video games and virtual reality to visual effects and computational design. The number of techniques for physically‐based modeling and animation has thus skyrocketed over the past few decades, facilitating the simulation of a wide variety of materials and ...
Daniel Holz   +5 more
wiley   +1 more source

Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley   +1 more source

Nondensity results in high‐dimensional stable Hamiltonian topology

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We push forward the study of higher dimensional stable Hamiltonian topology by establishing two nondensity results. First, we prove that stable hypersurfaces are not C3$C^3$‐dense in any isotopy class of embedded hypersurfaces on any ambient symplectic manifold of dimension 2n⩾8$2n\geqslant 8$.
Robert Cardona, Fabio Gironella
wiley   +1 more source

Lagrangian approximation of totally real concordances

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations ...
Georgios Dimitroglou Rizell
wiley   +1 more source

Open books for contact five-manifolds and applications of contact homology [PDF]

open access: yes, 2005
In the first half of this thesis, we use Giroux's construction of contact open books to construct contact structures on simply connected five-manifolds.
Koert, Otto van
core  

An elementary alternative to ECH capacities. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Hutchings M.
europepmc   +1 more source

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