Results 21 to 30 of about 83 (81)
Siegel–Veech constants for cyclic covers of generic translation surfaces
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
Model category structures on truncated multicomplexes for complex geometry
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
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
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
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
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
Radiogenic Heating as the Thermal Driver of Himalayan Crustal Heating During Prolonged Thickening
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
Combined Full Wave and Test Particle Simulations of the Io Footprint in the Jovian Aurora
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
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
Holographic Duality and the Physics of Consciousness. [PDF]
Awret U.
europepmc +1 more source

