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An introduction to geography of log models with applications to positive cones of FT varieties and to geometry of minimal models and Mori fibrations.

代数几何 · 数学 2010-05-18 Sung Rak Choi , Vyacheslav Shokurov

We present some recent results in Fibrewise General Topology with special regard to the theory of Tychonoff compactifications of mappings. Several open problems are also proposed.

综合数学 · 数学 2020-04-01 Giorgio Nordo

In this paper we propose a naive construction of 2-dimensional extended topological quantum field theories (TQFTs), which can be further generalized to the higher-dimension extended TQFTs.

量子代数 · 数学 2007-05-23 Vishvajit V. S. Gautam

This paper presents a gentle and informal introduction to the Skorokhod topologies. Focus is on motivating examples and concepts.

概率论 · 数学 2023-11-15 Julian Kern

This is an introduction to Grothendieck's descent theory, with some stress on the general machinery of fibered categories and stacks.

代数几何 · 数学 2007-06-13 Angelo Vistoli

An exposition of the basic geometry of twistor integrals, intended for mathematicians.

代数几何 · 数学 2013-02-18 Spencer Bloch

This is an expository article about the topological theory of digital images, and a gamification of a research project.

历史与综述 · 数学 2016-02-11 P. Christopher Staecker

We present a relative form of the Toponogov comparison theorem.

微分几何 · 数学 2023-05-24 Jianming Wan

This article contains a basic introduction to the local study of finite groups, including a brief perspective on the theory of fusion systems and $p$-local finite groups. -- Este art\'iculo contiene una introducci\'on b\'asica al estudio…

群论 · 数学 2024-11-12 José Cantarero

The purpose of this text is to set up a few basic notions concerning quantum graphs, to indicate some areas addressed in the quantum graph research, and to provide some pointers to the literature. The pointers in many cases are secondary,…

数学物理 · 物理学 2012-06-20 Peter Kuchment

Computations in the cohomology of finite groups.

代数拓扑 · 数学 2007-12-03 Ian J Leary

This is a Concluding Talk, not a Summary of the FPCP 2011 Conference. I will first make some comments on the status and the prospects of particle physics and then review some of the highlights that particularly impressed me at this…

高能物理 - 唯象学 · 物理学 2011-08-18 G. Altarelli

This paper provides the reader with a very brief introduction to some of the theory and methods of text data mining. The intent of this article is to introduce the reader to some of the current methodologies that are employed within this…

机器学习 · 统计学 2008-07-17 Jeffrey Solka

This purpose of this book is twofold: to provide a general introduction to higher category theory (using the formalism of "quasicategories" or "weak Kan complexes"), and to apply this theory to the study of higher versions of Grothendieck…

范畴论 · 数学 2008-07-31 Jacob Lurie

This article gives an overview, aimed at theoretical particle physicists, of some recent developments in cosmology.

高能物理 - 唯象学 · 物理学 2007-05-23 Andrew R Liddle

This is a brief introduction to the theory of Enriques surfaces over arbitrary algebraically closed fields. Some new results about automorphism groups of Enriques surfaces are also included.

代数几何 · 数学 2016-04-12 Igor V. Dolgachev

This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics

几何拓扑 · 数学 2007-05-23 Dror Bar-Natan

In this article, we introduce the notion of $\mathcal P$-triviality of topological manifolds and give a complete description of the $\mathcal P$-triviality of stunted real and complex projective spaces.

代数拓扑 · 数学 2024-09-26 Sudeep Podder , Gobinda Sau

In this article the current understanding of fundamental particles and their interactions is presented for the interested non-specialist, by adopting a semi-historical path. A discussion on the unresolved problems is also presented.

科普物理 · 物理学 2007-05-23 B. Ananthanarayan

This is a detailed introductory survey of the cohomological dimension theory of compact metric spaces.

一般拓扑 · 数学 2007-05-23 A. N. Dranishnikov