Results 31 to 40 of about 7,234 (101)
The embedded contact homology of sutured solid tori
, 2011 We calculate the relative versions of embedded contact homology, contact homology and cylindrical contact homology of the sutured solid torus $(S^1\times D^2,\Gamma)$, where $\Gamma$ consists of $2n$ parallel longitudinal sutures.Comment: 24 pages, 3 ...
Golovko, Roman
core +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
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
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
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
Relative Ruan and Gromov-Taubes Invariants of Symplectic 4-Manifolds
, 2013 We define relative Ruan invariants that count embedded connected symplectic submanifolds which contact a fixed stable symplectic hypersurface V in a symplectic 4-manifold (X,w) at prescribed points with prescribed contact orders (in addition to ...
Fintushel R. +8 more
core +1 more source
Combined Full Wave and Test Particle Simulations of the Io Footprint in the Jovian Aurora
Journal of Geophysical Research: Space Physics, Volume 130, Issue 10, October 2025.Abstract It is known that the perturbation of the co‐rotating plasma of Jupiter by Io propagates as Alfvén waves along the magnetic field lines. These waves accelerate electrons, which leads to precipitation and the formation of an auroral footprint on the ionosphere.
W. W. Eshetu +3 more
wiley +1 more source
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
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