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.
Survey article on recent Kähler geometry and exceptional holonomy.
Survey article on multibranched surfaces in 3-manifolds.
Survey on proof of homology isomorphism between two complex theories.
Survey finds LLMs match human economic expectations closely.
Surveying matrix group actions on manifolds.
Survey on embedding 3-manifolds in definite 4-manifolds, focusing on Donaldson's theorem.
Survey on affine Anosov representations and their implications.
Survey article on solving geometric problems with calculus and harmonic analysis.
This is mainly a survey article on the recent development of the theory of graph-like Legendrian unfoldings and its applications. The notion of big Legendrian submanifolds was introduced by Zakalyukin for describing the wave front propagations. Graph-like Legendrian unfoldings belong to a special class of big Legendria…
An expository survey article on Heegaard splittings
This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research. The sections are: classical examples, basics about quasiisometry,properties and invariants of groups invariant under quasiisometry, rigidity, hyperbolic spa…
Survey on foliations and diffeomorphism groups.
Survey of Sasakian geometry and its moduli.
This is a survey article on distance-squared mappings and related topics.
In "On the homotopy theory of arrangements," published in 1986, the authors gave a comprehensive survey of the subject. This article updates and continues the earlier article, noting some key open problems.
Survey on CR Paneitz operator and manifold embeddability.
Survey on spatial graphs with few vertices and edges.
Survey of recent scalar curvature results on open 3-manifolds.
Survey links fluid dynamics conjecture to geometry.
In this survey article, we discuss several different knot concordance invariants coming from the Heegaard Floer homology package of Ozsvath and Szabo. Along the way, we prove that if two knots are concordant, then their knot Floer complexes satisfy a certain type of stable equivalence.
Survey of gauge theory for families of 4-manifolds.
Surveying isoparametric hypersurfaces in spheres, focusing on Élie Cartan's techniques.
This article is a survey of results involving conformal deformation of Riemannian metrics and fully nonlinear equations.
Survey connects singularity invariants to link pairings.
Recently, there is an explosive growth of activities to understand stringy properties of orbifolds. In this article, we survey some of recent developments.
This review article surveys data augmentation MCMC algorithms.
The paper surveys pressure metrics in geometry and dynamics.
Survey of combination theorems in geometry and dynamics.
A brief survey of real algebraic structures on topological spaces is given. This article is written for the Gokova Gemetry/Topology Conference proceedings.
In this survey article we describe different ways of embedding fillings of contact 3-manifolds into closed symplectic 4-manifolds.
This article is written for the online newspaper "The Photon" published by the Department of Physics, University of Maryland. The article describes econophysics research done in the group of Victor Yakovenko. It briefly surveys the subjects "Statistical Mechanics of Money, Income, and Wealth" and "Probability Distribut…
Survey on submanifolds in noncompact symmetric spaces.
Inverse reinforcement learning (IRL) is the problem of inferring the reward function of an agent, given its policy or observed behavior. Analogous to RL, IRL is perceived both as a problem and as a class of methods. By categorically surveying the current literature in IRL, this article serves as a reference for researc…
Survey on heat kernels and path integrals.
The goal of this article is to survey recent developments in the theory of contact structures in dimension three.
This is a survey article on finite type invariants of 3-manifolds written for the Encyclopedia of Mathematical Physics to be published by Elsevier.
Rabinowitz Floer homology is the semi-infinite dimensional Morse homology associated to the Rabinowitz action functional used in the pioneering work of Rabinowitz. Gradient flow lines are solutions of a vortex-like equation. In this survey article we describe the construction of Rabinowitz Floer homology and its applic…
This article surveys many aspects of the theory of quandles which algebraically encode the Reidemeister moves. In addition to knot theory, quandles have found applications in other areas which are only mentioned in passing here. The main purpose is to give a short introduction to the subject and a guide to the applicat…
Survey on manifold ends with new heat kernel estimates.
Survey on 3-manifold problems and their complexity.
This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.
The area of online machine learning in big data streams covers algorithms that are (1) distributed and (2) work from data streams with only a limited possibility to store past data. The first requirement mostly concerns software architectures and efficient algorithms. The second one also imposes nontrivial theoretical …
This article is an English translation of Japanese article "Musubime to Kyokumen", Math. Soc. Japan, Sugaku Vol. 67, No. 4 (2015) 403--423. It surveys a specific area in Knot Theory concerning surfaces in knot exteriors. In version 2, we added comments on the solutions or counterexamples for Conjecture 3.5, Conjecture …
Survey recent constructions of cyclic cocycles for Lie groups.
In this short survey article we collect the current state of the art in the nascent field of \textit{quantum enhancements}, a type of knot invariant defined by collecting values of quantum invariants of knots with colorings by various algebraic objects over the set of such colorings. This class of invariants includes c…
This is a survey article, based on the author's lectures in the 2015 AMS Summer Research Institute in Algebraic Geometry, and to appear in the Proceedings.
The aim of this survey article is to highlight several notoriously intractable problems about knots and links, as well as to provide a brief discussion of what is known about them.
Provides an overview of Bartnik's quasi-local mass.