Stacks and catetories in geometry, topology, and algebra
Subtitle: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France
By: Tony Pantev, Carlos Simpson, Bertrand Toën, Michel Vaquié, Gabriele Vezzosi, editors
Series: Contemporary mathematics -- volume 643
Publisher: American Mathematical Society
Published: 2015
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 323
ISBN-13: 9781470415570
Subjects: Algebraic stacks; Congresses; Algebraic topology; Geometry; Algebra; Algebraic geometry -- Families, fibrations -- Stacks and moduli problems; Algebraic geometry -- (Co)homology theory -- Sheaves, derived categories of sheaves and related constructions; Category theory; homological algebra -- Abelian categories -- Derived categories, triangulated categories; Category theory; homological algebra -- Categories with structure -- Double categories, $2$-categories, bicategories and generalizations; Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories; Category theory; homological algebra -- Homological algebra -- Simplicial sets, simplicial objects (in a category); Algebraic topology -- Homotopy theory -- Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.).; Manifolds and cell complexes -- Differential topology -- Topological quantum field theories; Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory; Quantum theory -- Quantum field theory; related classical field theories -- Topological field theories
Notes: Includes bibliographical references.