A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
The paper extends affine connection results to singular warped and twisted products.
We define twisted Alexander polynomials of a complex hypersurface with arbitrary singularities. These generalize the classical Alexander polynomials of high dimensional hypersurfaces and the twisted Alexander polynomial of plane curves. We recover the classical torsionness and divisibility results, which say that, unde…
Study on four-dimensional Dehn twists and Milnor fibrations, revealing new phenomena.
There exists a (relatively minimal) genus g Lefschetz fibration with only one singular fiber over a closed (Riemann) surface of genus h iff g>2 and h>1. The singular fiber can be chosen to be reducible or irreducible. Other results are that every Dehn twist on a closed surface of genus at least three is a product of tw…
Divides help construct fibered links from singularities.
Study on singular twisted links and virtual braids, extending knot theory concepts.
Tête-à-tête graphs were introduced by N. A'Campo in 2010 with the goal of modeling the monodromy of isolated plane curves. Mixed tête-à-tête graphs provide a generalization which define mixed tête-à-tête twists, which are pseudo-periodic automorphisms on surfaces. We characterize the mixed tête-à-tête twists as those p…
We consider the Alexander polynomial of a plane algebraic curve twisted by a linear representation. We show that it divides the product of the polynomials of the singularity links, for unitary representations. Moreover, their quotient is given by the determinant of its Blanchfield intersection form. Specializing in the…
In this paper, we give some relations in the mapping class groups of oriented closed surfaces in the form that a product of a small number of right hand Dehn twists is equal to a single commutator. Consequently, we find upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus.
The paper defines and analyzes curvature tensors on super twisted product spaces.
The paper studies submonoids of singular twisted virtual braids and their properties.
Existence and uniqueness of gravitating vortices on Riemann surfaces with specific properties.
Researchers study rank two theories with eight supercharges using Lefschetz pencils.
In this article we define the twisted product of groups as the generalization of the semidirect product of groups. We will find the necessary and sufficient condition in order that the twisted product of groups to be a group. In particular, for two copies of the same group, the twisted product of group by itself throug…
Researchers create spectral triples for twisted crossed products using Kasparov's external product.
Paper studies Landsberg curvature of a specific Finsler metric.
In this paper, we compute the index form of the multiply twisted products. We study the Killing vector fields on the multiply twisted product manifolds and determine the Killing vector fields in some cases. We compute the curvature of the multiply twisted products with a semi-symmetric metric connection and show that t…
On the product of two Finsler manifolds M1 M2, we consider the twisted metric F which is construct by using Finsler metrics F1 and F2 on the manifolds M1 and M2, respectively. We introduce horizontal and vertical distributions on twisted product Finsler manifold and study Creducible and semi-C-reducible properties of t…
Study on balanced Hermitian structures on Lie algebras twisted by representations.
We introduce a model for Hermitian holormorphic Deligne cohomology on a projective algebraic manifold which allows to incorporate singular hermitian structures along a normal crossing divisor. In the case of a projective curve, the cup-product in cohomology is shown to correspond to a generalization of the Deligne pair…
We characterize Osserman and conformally Osserman Riemannian manifolds with the local structure of a warped product. By means of this approach we analyze the twisted product structure and obtain, as a consequence, that the only Osserman manifolds which can be written as a twisted product are those of constant curvature…
Some basic geometric properties of doubly twisted product immersions are established.
We explain the correspondences between twisted monopoles with Dirac type singularity and polystable twisted mini-holomorphic bundles with Dirac type singularity on a 3-dimensional torus. We also explain that they are equivalent to polystable parabolic twisted difference modules on elliptic curves.
Study characterizes 2-Killing vector fields on complex spacetimes.
Given a 3-holed sphere decomposition of an orientable closed surface, it is shown that each orientation preserving homeomorphism of the surface is isotopic to a composition AB where A is a product of positive Dehn twists and B is a product of negative Dehn twists on the decomposition curves.
For spacetime dimensions, we derive sufficient conditions for the twisting function in a twisted product spacetime, such that there is a global foliation by spacelike CMC surfaces.
In this paper, we show that the projection of a dualistic structure defined on a twisted product manifold induces dualistic structures on the base and the fiber manifolds, and conversely. Then under some conditions on the Ricci curvature and the Weyl conformal tensor we characterize dually flat structures on twisted pr…
Study shows twist tori equidistribute in moduli space, with other families having singular distributions.
The Legendrian product of two Legendrian knots, as defined by Lambert-Cole, is a Legendrian torus. We show that this Legendrian torus is a twist spun whenever one of the Legendrian knot components is sufficiently large. We then study examples of Legendrian products which are not Legendrian isotopic to twist spuns. In o…
Study of curve shortening flow for twisted curves, defining curvature-torsion entropy.
This paper computes fixed point Floer cohomology for Dehn twists on surfaces.
The paper proves uniqueness of closed timelike geodesics on de-Sitter tori with one singularity.
In this paper we present a certain class of geodesic vector fields of the double-twisted product R X R. Some examples of totally geodesic foliations are given.
Generalizes isomonodromic-isospectral correspondence for twisted connections.
In the present paper we prove Liouville-type theorems: non-existence theorems for complete twisted and warped products of Riemannian manifolds which generalize and complement similar results for compact manifolds.
The paper proves a theorem for a twisted Dirac operator on specific manifolds.
This paper explores twisted Lagrangian tori in C^2 and their Hamiltonian stationarity.
Algorithm detects free products in disk mapping class groups.
New rigidity results for warped product domains.
Study singular fibers in genus 2 algebraic fibrations and their monodromy factorizations.
Paper shows regularizing flow for conical Kähler-Ricci equations.
The paper proves a theorem for a twisted Dirac operator on specific manifolds.
Study of twisted Kähler-Einstein metrics on Calabi-Yau spaces with singularities.
Proves curvature comparison theorem for manifolds with conical singularities.
New relation found in 4D symplectic mapping class group.
Friedl and Kim show any taut sutured manifold can be realized as a twisted homology product, but their proof gives no practical description of how complicated the realizing representation needs to be. We give a number of results illustrating the relationship between the topology of a taut sutured handlebody and the com…
Study of spacelike hypersurfaces in twisted product spacetimes with specific conditions.
We provide an upper bound on the topological complexity of twisted products. We use it to give an estimate of the topological complexity of a space in terms of its dimension and the complexity of its fundamental group.