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[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 …
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 …
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 …
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …
[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 …
phase spaces. They also arise naturally in other mathematical problems, and form a bridge …
The orbifold Chow ring of toric Deligne-Mumford stacks
Generalizing toric varieties, we introduce toric Deligne-Mumford stacks. The main result in
this paper is an explicit calculation of the orbifold Chow ring of a toric Deligne-Mumford …
this paper is an explicit calculation of the orbifold Chow ring of a toric Deligne-Mumford …
An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
H Iritani - Advances in Mathematics, 2009 - Elsevier
We introduce an integral structure in orbifold quantum cohomology associated to the K-
group and the Γˆ-class. In the case of compact toric orbifolds, we show that this integral …
group and the Γˆ-class. In the case of compact toric orbifolds, we show that this integral …
Differentiable stacks and gerbes
We introduce differentiable stacks and explain the relationship with Lie groupoids. Then we
study S^1-bundles and S^1-gerbes over differentiable stacks. In particular, we establish the …
study S^1-bundles and S^1-gerbes over differentiable stacks. In particular, we establish the …
[كتاب][B] Basic noncommutative geometry
M Khalkhali - 2013 - ems.press
One of the major advances of science in the 20th century was the discovery of a
mathematical formulation of quantum mechanics by Heisenberg in 1925 [103]. 1 From a …
mathematical formulation of quantum mechanics by Heisenberg in 1925 [103]. 1 From a …
Lectures on integrability of Lie brackets
The subject of these lecture notes is the problem of integrating infinitesimal geometric
structures to global geometric structures. We follow the categorical approach to differential …
structures to global geometric structures. We follow the categorical approach to differential …
The Euler characteristic of a category
T Leinster - Documenta Mathematica, 2008 - ems.press
The Euler characteristic of a finite category is defined and shown to be compatible with Euler
characteristics of other types of object, including orbifolds. A formula is proved for the …
characteristics of other types of object, including orbifolds. A formula is proved for the …