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.
Extended elliptical slice sampling for infinite-dimensional spaces, proving reversibility.
Elliptical slice sampling converges geometrically, providing reliable sampling for Bayesian learning.
A new algorithm speeds up elliptical slice sampling for truncated multivariate normals.
In this work, it is shown that a simply-connected, rationally-elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient of a product of spheres by an almost-free, linear torus action, where this torus has rank equal to the number of odd-dimensional spherical factors in the product. As an a…
Efficiently implements polar slice sampling for high-dimensional distributions.
Identifies half-space neighborhoods of pleating rays in the Riley slice of Schottky groups.
New algorithm speeds up SVAR inference for large datasets.
The paper provides a new inequality for 4-manifolds and uses it to study knot sliceness and symplectic embeddings.
We consider several geometric inequalities in general relativity involving mass, area, charge, and angular momentum for asymptotically hyperboloidal initial data. We show how to reduce each one to the known maximal (or time symmetric) case in the asymptotically flat setting, whenever a geometrically motivated system of…
This work optimizes MCMC algorithms for modern accelerators without synchronization overheads.
Probabilistic models are conceptually powerful tools for finding structure in data, but their practical effectiveness is often limited by our ability to perform inference in them. Exact inference is frequently intractable, so approximate inference is often performed using Markov chain Monte Carlo (MCMC). To achieve the…
Based on ideas of L. Alías, D. Impera and M. Rigoli developed in "Hypersurfaces of constant higher order mean curvature in warped products", we develope a fairly general weak/Omori-Yau maximum principle for trace operators. We apply this version of maximum principle to generalize several higher order mean curvature est…
New method constructs translationally equivariant hyperbolic affine spheres.
Local well-posedness proved for Bartnik static extension near Schwarzschild spheres.
An irreducible representation of the free group on two generators X,Y into SL(2,C) is determined up to conjugation by the traces of X,Y and XY. We study the diagonal slice of representations for which X,Y and XY have equal trace. Using the three-fold symmetry and Keen-Series pleating rays we locate those groups which a…
Conformally compact and complete smooth solutions to the Strominger system with non vanishing flux, non-trivial instanton and non-constant dilaton using the first Pontrjagin form of the (-)-connection} on 6-dimensional non-Kaehler nilmanifold are presented. In the conformally compact case the dilaton is determined by t…
In this article we construct a family of knot surgery -manifolds admitting arbitrarily many nonisomorphic Lefschetz fibration structures with the same genus fiber. We obtain such families by performing knot surgery on an elliptic surface using connected sums of fibered knots obtained by Stallings twist from a…
Many probabilistic models introduce strong dependencies between variables using a latent multivariate Gaussian distribution or a Gaussian process. We present a new Markov chain Monte Carlo algorithm for performing inference in models with multivariate Gaussian priors. Its key properties are: 1) it has simple, generic c…
Study on shake slice knots and proves 0-shake slice knots are slice.
Proves certain knots are slice without shaking.
Bayesian inference was once a gold standard for learning with neural networks, providing accurate full predictive distributions and well calibrated uncertainty. However, scaling Bayesian inference techniques to deep neural networks is challenging due to the high dimensionality of the parameter space. In this paper, we …
Proves a special knot type is slice.
New findings on knots that are both topologically and rationally slice.
Regular sliceness implies once-stably decomposable sliceness in symplectizations.
We consider linear slices of the space of Kleinian once-punctured torus groups; a linear slice is obtained by fixing the value of the trace of one of the generators. The linear slice for trace 2 is called the Maskit slice. We will show that if traces converge `horocyclically' to 2 then associated linear slices converge…
The paper defines new knot genera and finds bounds for stabilization distances.
New knots found with tough, unsliceable discs.
The study examines obstructions to links being shake slice.
A new slicing method speeds up sliced Wasserstein estimation.
A knot is said to be slice if it bounds a smooth properly embedded disk in the 4-ball. We demonstrate that the Conway knot, 11n34 in the Rolfsen tables, is not slice. This completes the classification of slice knots under 13 crossings, and gives the first example of a non-slice knot which is both topologically slice an…
Study shows translators can have non-removable singularities at infinity but eventually converge to unique planes.
Khovanov homology fails to differentiate certain slice disks.
Characterizes values of slice-torus invariants related to knot genus.
We show that if the connected sum of two knots with coprime Alexander polynomials is doubly slice, then the Ozsváth-Szabó correction terms as smooth double sliceness obstructions vanish for both knots. Recently, Jeffrey Meier gave smoothly slice knots that are topologically doubly slice, but not smoothly doubly slice. …
The study classifies slice pretzel links and Seifert fiber spaces.
Study slice-regular polynomial functions via twistor space group actions.
The paper shows some Montesinos links can't be doubly sliced strongly.
Study shows most knots in a family are not slice.
We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provide a general context for proving links are slice that includes many of the previously known results.
Study on slicing knots in 4-manifolds, focusing on CP^2-slicing numbers.
New invariant measures doubly slice links, disproving previous bounds.
New knots show linear independence in slice concordance.
Study shows certain knots can't be sliced using 2-fold branched covers.
Bing doubling is an operation which produces a 2-component boundary link B(K) from a knot K. If K is slice, then B(K) is easily seen to be boundary slice. In this paper, we investigate whether the converse holds. Our main result is that if B(K) is boundary slice, then K is algebraically slice. We also show that the Ras…
In the present paper we extend the definition of slice-torus invariant to links. We prove a few properties of the newly-defined slice-torus link invariants: the behaviour under crossing change, a slice genus bound, an obstruction to strong sliceness, and a combinatorial bound. Furthermore, we provide an application to …
We use recently introduced Rasmussen invariant to find knots that are topologically locally-flatly slice but not smoothly slice. We note that this invariant can be used to give a combinatorial proof of the slice-Bennequin inequality. Finally, we compute the Rasmussen invariant for quasipositive knots and show that most…
Paper explores properties of slice-matching operators for measure transfer.
We prove that there are infinitely many -knots which are topologically slice, but not smoothly slice, which was a conjecture proposed by Béla András Rácz.