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Simplicial Methods for Operads and Algebraic Geometry

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Published by Springer Basel AG in Basel .
Written in English

Subjects:

  • Mathematics,
  • Algebraic topology,
  • Algebra

Book details:

Edition Notes

Statementby Ieke Moerdijk, Bertrand Toën
SeriesAdvanced Courses in Mathematics - CRM Barcelona
ContributionsToën, Bertrand, 1973-, SpringerLink (Online service)
The Physical Object
Format[electronic resource] /
ID Numbers
Open LibraryOL25573171M
ISBN 109783034800518, 9783034800525

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Title: Simplicial Methods for Operads and Algebraic Geometry: Author(s): Moerdijk, I.; Toën, B. Publication year: Cited by: Simplicial Methods for Operads and Algebraic Geometry An The material in the book is an enhanced version of lecture notes from courses given within a special year on Homotopy Theory and Higher Categories at the CRM in Barcelona. Simplicial Methods for Operads and Algebraic Geometry. Simplicial and operad methods in algebraic topology | Smirnov, V. A. | download | B–OK. Download books for free. Find books. Operad methods are applied to computing the homology of iterated loop spaces, investigating the algebraic structure of generalized cohomology theories, describing cohomology of groups and algebras, computing differential in the Adams spectral sequence for the homotopy groups of the spheres, and some other problems.

Simplicial Methods for Operads and Algebraic Geometry. By I. Moerdijk and B. Toën. Cite. BibTex; Full citation; Abstract. Item does not contain fulltext p Topics: Algebra and Topology Cited by: Simplicial Methods for Operads and Algebraic Geometry. By Ieke Moerdijk and Bertrand Toën. Cite. BibTex; Full citation; Topics: Mathematical Physics and Mathematics. Publisher: Springer. Year: Author: Ieke Moerdijk and Bertrand Toën.   Operads are tools used to describe algebraic structures in monoidal categories. They are very important in categories with a good notion of homotopy, where they are useful for the study of homotopy. SIMPLICIAL METHODS IN ALGEBRA AND ALGEBRAIC GEOMETRY 5 (2-out-of-3) If f;gare composable C-morphisms and two out of three of f;g;gfare weak equivalences, then so is the third. (Retracts) Weak equivalences, brations, and co brations are closed under retracts. (Lifting) Call a morphism a trivial bration (resp. trivial co bration) i it is both a.

Title: Simplicial commutative algebras: Author(s): Moerdijk, I.; Toën, B. Publication year: In: Casacuberta, C. (ed.), Simplicial Methods for Operads and Cited by: 1. Get this from a library! Simplicial methods for operads and algebraic geometry. [Ieke Moerdijk; Bertrand Toën; Carles Casacuberta; Joachim Kock] -- "This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectures delivered at the Centre de Recerca. As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. Simplicial presheaves and derived algebraic geometry. Bertrand Toen To cite this version: Bertrand Toen. Simplicial presheaves and derived algebraic geometry.. Simplicial Methods for Operads and Algebraic Geometry, Springer Basel, pp, , Advanced Courses in Mathematics - CRM.