Results 21 to 30 of about 7,209 (106)
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
wiley +1 more source
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
Subflexible symplectic manifolds
, 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
Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
, 2017 This is a very biased and incomplete survey of some basic notions, old and new results, as well as open problems concerning Weinstein symplectic manifolds.Comment: 32 pages, 6 figures.
Eliashberg, Yakov
core +1 more source
Persistence of unknottedness of clean Lagrangian intersections
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley +1 more source
An Invitation to Singular Symplectic Geometry [PDF]
, 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
Formality and the Lefschetz property in symplectic and cosymplectic geometry
, 2015 We review topological properties of K\"ahler and symplectic manifolds, and of their odd-dimensional counterparts, coK\"ahler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-
Bazzoni, Giovanni +2 more
core +2 more sources
Radiogenic Heating as the Thermal Driver of Himalayan Crustal Heating During Prolonged Thickening
Geochemistry, Geophysics, Geosystems, Volume 26, Issue 11, November 2025.Abstract The thermal evolution of the crust during continental collision evolves from cold to hot with time, which impacts crustal reworking and differentiation. However, it remains elusive as to the mechanism driving the crust to be hot during the protracted collision.
Shuaiqi Liu +4 more
wiley +1 more source