[كتاب][B] Quaternion algebras

J Voight - 2021‏ - library.oapen.org
This open access textbook presents a comprehensive treatment of the arithmetic theory of
quaternion algebras and orders, a subject with applications in diverse areas of mathematics …

Orbifolds as stacks?

E Lerman - L'Enseignement mathématique, 2010‏ - ems.press
The first goal of this survey paper is to argue that if orbifolds are groupoids, then the
collection of orbifolds and their maps has to be thought of as a 2-category. Compare this with …

[كتاب][B] Sasakian geometry

C Boyer, K Galicki - 2007‏ - academic.oup.com
Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

[كتاب][B] Groupoids, inverse semigroups, and their operator algebras

A Paterson - 2012‏ - books.google.com
In recent years, it has become increasingly clear that there are important connections
relating three concepts--groupoids, inverse semigroups, and operator algebras. There has …

[كتاب][B] Poisson structures and their normal forms

JP Dufour, NT Zung - 2006‏ - books.google.com
Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as
phase spaces. They also arise naturally in other mathematical problems, and form a bridge …

Differential cohomology in a cohesive infinity-topos

U Schreiber - arxiv preprint arxiv:1310.7930, 2013‏ - arxiv.org
We formulate differential cohomology and Chern-Weil theory--the theory of connections on
fiber bundles and of gauge fields--abstractly in the context of a certain class of higher …

Orbifolds as groupoids: an introduction

I Moerdijk - arxiv preprint math/0203100, 2002‏ - arxiv.org
arxiv:math/0203100v1 [math.DG] 11 Mar 2002 Page 1 arxiv:math/0203100v1 [math.DG] 11
Mar 2002 Orbifolds as Groupoids: an Introduction Ieke Moerdijk Contents 1 Lie groupoids 2 2 …

[كتاب][B] Topology of singular spaces and constructible sheaves

J Schürmann - 2012‏ - books.google.com
Assuming that the reader is familiar with sheaf theory, the book gives a self-contained
introduction to the theory of constructible sheaves related to many kinds of singular spaces …

[كتاب][B] An introduction to infinite-dimensional differential geometry

A Schmeding - 2022‏ - books.google.com
Introducing foundational concepts in infinite-dimensional differential geometry beyond
Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of …

The local fundamental group of a Kawamata log terminal singularity is finite

L Braun - Inventiones mathematicae, 2021‏ - Springer
We prove a conjecture of Kollár stating that the local fundamental group of a klt singularity x
is finite. In fact, we prove a stronger statement, namely that the fundamental group of the …