相关论文: PCF Theory
A brief introduction to exterior differential systems for graduate students familiar with manifolds and differential forms. For complete files, see https://github.com/Ben-McKay/introduction-to-exterior-differential-systems
An elementary description of the Eightfold Way for the non-specialist is presented. This article, for publication in {\it Macmillan Encylopedia of Physics, Supplement: Elementary Particle Physics}, is being submitted to the Archive for…
An overview of the recent developments in plurifine potential theory.
The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations. My hope is that students and mathematicians who are new to the subject will find it useful as a…
In this article, we define the notion of a filtration and then give the basic theorems on initial and progressive enlargements of filtrations.
This is a reference volume on polyfold and Fredholm theory.
This article gives a compact introduction and overview of the theory underlying the experiments described in the rest of this review.
This is a short expository article on alternating knots and is to appear in the Concise Encyclopedia of Knot Theory.
This paper is a guide for the pure mathematician who would like to know more about cryptography based on group theory. The paper gives a brief overview of the subject, and provides pointers to good textbooks, key research papers and recent…
The purpose of this paper is to construct topology on vague soft sets. The concept of vague soft topology is introduced and its basic properties are given.
This article gives a brief overview of some of the theory behind the inflationary cosmology, and discusses prospects for constraining inflation using observations. Particular care is given to the question of falsifiability of inflation or…
This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.
This is a research announcement of the theory of orbifold quantum cohomology.
The goal of these notes is to provide an introduction to rough partial differential equations. For this purpose, we will present the theory of rough paths to the extend as it is required. Applications to stochastic partial differential…
This is a series of lecture notes explaining topos theory and its application in physics.
Planning to explore the beginning of the Universe? A lightweight introductory guide to the theory of Inflation.
This article gives a brief survey of the theory and applications of anomalies.
In this expository paper written for physicists and geometers we introduce the notions of TQFT and of orbifold. Then we survey the construction of TQFT's originating from orbifolds such as Chen-Ruan theory and Orbifold String Topology.
A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
We exploit the theory of $\infty$-stacks to provide some basic definitions and calculational tools regarding stratified homotopy theory of stratified topological stacks.