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.
Paper shows how to embed Möbius bands with many twists and small aspect ratios.
This is the second paper in a series of papers aimed at providing a geometric construction of modular functors and topological quantum field theories from conformal field theory building on the constructions in [TUY] and [KNTY]. We give a geometric construct of a modular functor for any simple Lie-algebra and any level…
The paper constructs gluing maps for harmonic maps between Riemannian manifolds.
Paper proves existence and gives construction of Symphonic map between ellipsoids.
Paper constructs Chern character for coherent sheaves.
The paper constructs solutions to a critical Dirac equation on spheres.
Paper constructs various algebroids using n-systems and metric n-systems.
This paper analyses the parabolic geometries generated by a free 3-distribution in the tangent space of a manifold. It shows the existence of normal Fefferman constructions over CR and Lagrangian contact structures corresponding to holonomy reductions to SO(4,2) and SO(3,3), respectively. There is also a fascinating co…
Paper uses Long-Moody construction for new braid group representations.
The twist construction is a geometric model of T-duality that includes constructions of nilmanifolds from tori. This paper shows how one-dimensional foliations on manifolds may be used in a shear construction, which in algebraic form builds certain solvable Lie groups from Abelian ones. We discuss other examples of geo…
The paper constructs hypersurfaces in symmetric space products.
The paper explores F-manifolds and metrics, constructing canonical structures.
Paper proposes new method for time series confidence intervals using LSTM.
Constructs non-isometric iso-length-spectral surfaces.
We overview few results which use the construction described in our paper "Telescopic actions".
This paper completes a fundamental construction in Alexandrov geometry. Previously we gave a new construction of metric spaces with curvature bounds either above or below, namely warped products with intrinsic metric space base and fiber, and with possibly vanishing warping functions -- thereby extending the classical …
This paper provides the technical details of gradient flow construction and related problems, which are essential for our construction of Lagrangian torus fibrations for Calabi-Yau hypersurfaces.
This is the second in a series of papers constructing explicit examples of special Lagrangian submanifolds in C^m. The first paper was math.DG/0008021, which studied special Lagrangian m-folds with large symmetry groups. The third is math.DG/0010036, which uses ideas from this paper to construct families of special Lag…
We constructed physically stable sp2 negatively curved cubic carbon structures which reticulate a Schwarz P-like surface. The method for constructing such crystal structures is based on the notion of the standard realization of abstract crystal lattices. In this paper, we expound on the mathematical method to construct…
The paper extends trisection construction for Lefschetz fibrations with -sections.
Paper constructs a new type of hypersurface in Euclidean spaces.
Paper constructs an invariant for a specific type of complex manifolds.
In this paper we clarify an issue in the knot surgery construction of Fintushel and Stern. Using knot surgery, they construct an infinite number of smooth structures on 4-manifolds satisfying certain conditions, but they do not explicitly work out the circumstances under which two manifolds that arise from their constr…
This paper constructs a Weinstein trisection for a surface bundle.
New hyperbolic 3-manifolds with multiple cusps are found that sound the same but look different.
The paper constructs contractible manifolds with knotted spheres.
Paper constructs hyperbolic Coxeter groups that virtually fiber over Z.
In the first part of the paper we discuss the current status of the application of the gluing methodology to doubling and desingularization constructions for minimal surfaces in Riemannian three-manifolds. In particular a doubling construction for equatorial spheres in is announced. Aspects of the current unde…
New Sasaki metrics with constant scalar curvature on sphere bundles are constructed.
This paper presents the construction of parametrices for the Gauss-Bonnet and Hodge Laplace operators on noncompact manifolds modelled on Q-rank 1 locally symmetric spaces. These operators are, up to a scalar factor, -differential operators, that is, they live in the generalised -calculus studied by the authors i…
The paper constructs homotopy 4-spheres using pochette surgery.
We construct a class of compact ancient solutions to the mean curvature flow in Euclidean space with high codimension. In particular, we construct higher codimensional ancient curve shortening flows. Moreover, we characterize the asymptotic behavior of these solutions. Add on remark: the construction in this paper has …
The paper studies pseudo-Anosov maps from typical Thurston constructions.
The paper constructs ancient solutions to curvature flows in bounded and unbounded regions.
Paper constructs multivalued harmonic functions on R^3 using twistor methods.
The paper constructs Goeritz matrices from Dehn colorings.
Based on representation theory of Clifford algebra, Ferus, Karcher and Münzner constructed a series of isoparametric foliations. In this paper, we will survey recent studies on isoparametric hypersurfaces of OT-FKM type and investigate related geometric constructions with mean curvature flow.
Paper constructs super integrable systems on color Lie algebra.
Paper proposes NNAFC for automatic financial factor construction.
This paper explores links from Thompson's group conjugacy classes.
This is the first of five papers that construct an isomorphism between the embedded contact homology and Seiberg-Witten Floer cohomology of a compact 3-manifold with a given contact 1-form. This paper describes what is involved in the construction.
In this paper, we construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant of the well-known Sunada method for constructing length-isospectral Riemannian manifolds that handles totally geodesic submanifolds of multip…
We present a geometric construction of the exceptional Lie algebras F4 and E8 starting from the round 8- and 15-spheres, respectively, inspired by the construction of the Killing superalgebra of a supersymmetric supergravity background. (There is no supergravity in the paper.)
Paper explores using hand gestures to type English letters.
In this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Turaev [10]. We proved that the concepts introduced by S.L.Woronowicz in constructing Differential calculus on Hopf Compact Matrix Pseudogroups (Quantum Groups)[7] can be adapted to serve again in our construction.
Paper connects algebraic and analytic methods for braid group representations.
This paper constructs Koszul duals for Heegaard Floer Dehn surgery formulas.
In Part I of this series of papers, we made Riley's definition of Heckoid groups for 2-bridge links explicit, and gave a systematic construction of epimorphisms from 2-bridge link groups onto Heckoid groups, generalizing Riley's construction. In this paper, we give a complete characterization of upper-meridian-pair-pre…