An Alpine Bouquet of Algebraic Topology

An Alpine Bouquet of Algebraic Topology PDF Author: Jérôme Scherer
Publisher: American Mathematical Soc.
ISBN: 147042911X
Category : Algebraic topology
Languages : en
Pages : 308

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Book Description
This volume contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held from August 15–21, 2016, in Saas-Almagell, Switzerland. The papers cover a broad range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic -theory and topological cyclic, periodic, or Hochschild homology, intersection cohomology, and symplectic topology.

An Alpine Bouquet of Algebraic Topology

An Alpine Bouquet of Algebraic Topology PDF Author: Christian Ausoni
Publisher:
ISBN: 9781470447748
Category : Algebraic topology
Languages : en
Pages : 322

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Book Description
This volume contains the proceedings of the Second Mid-Atlantic Topology Conference, held from March 12–13, 2016, at Johns Hopkins University in Baltimore, Maryland. The focus of the conference, and subsequent papers, was on applications of innovative methods from homotopy theory in category theory, algebraic geometry, and related areas, emphasizing the work of younger researchers in these fields.

Alpine Perspectives on Algebraic Topology

Alpine Perspectives on Algebraic Topology PDF Author: Christian Ausoni
Publisher: American Mathematical Soc.
ISBN: 0821848399
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.

An Alpine Expedition through Algebraic Topology

An Alpine Expedition through Algebraic Topology PDF Author: Christian Ausoni
Publisher: American Mathematical Soc.
ISBN: 0821891456
Category : Mathematics
Languages : en
Pages : 314

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Book Description
This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.

Algebraic Topology

Algebraic Topology PDF Author: Solomon Lefschetz
Publisher: American Mathematical Soc.
ISBN: 0821810278
Category : Mathematics
Languages : en
Pages : 404

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Book Description


Equivariant Topology and Derived Algebra

Equivariant Topology and Derived Algebra PDF Author: Scott Balchin
Publisher: Cambridge University Press
ISBN: 1108931944
Category : Mathematics
Languages : en
Pages : 357

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Book Description
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

K-theory in Algebra, Analysis and Topology

K-theory in Algebra, Analysis and Topology PDF Author: Guillermo Cortiñas
Publisher: American Mathematical Soc.
ISBN: 1470450267
Category : Education
Languages : en
Pages : 388

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Book Description
This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018, in La Plata, Argentina, and the workshop was held from July 23–27, 2018, in Buenos Aires, Argentina. The volume showcases current developments in K-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as K-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative K-groups of monoid algebras, Milnor K-theory and regulators, noncommutative motives, the classification of C∗-algebras via Kasparov's K-theory, the comparison between full and reduced C∗-crossed products, and a proof of Bott periodicity using almost commuting matrices.

Lectures on Algebraic Topology

Lectures on Algebraic Topology PDF Author: Sergeĭ Vladimirovich Matveev
Publisher: European Mathematical Society
ISBN: 9783037190234
Category : Mathematics
Languages : en
Pages : 112

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Book Description
Algebraic topology is the study of the global properties of spaces by means of algebra. It is an important branch of modern mathematics with a wide degree of applicability to other fields, including geometric topology, differential geometry, functional analysis, differential equations, algebraic geometry, number theory, and theoretical physics. This book provides an introduction to the basic concepts and methods of algebraic topology for the beginner. It presents elements of both homology theory and homotopy theory, and includes various applications. The author's intention is to rely on the geometric approach by appealing to the reader's own intuition to help understanding. The numerous illustrations in the text also serve this purpose. Two features make the text different from the standard literature: first, special attention is given to providing explicit algorithms for calculating the homology groups and for manipulating the fundamental groups. Second, the book contains many exercises, all of which are supplied with hints or solutions. This makes the book suitable for both classroom use and for independent study.

Algebraic Topology

Algebraic Topology PDF Author: Arunas Liulevicius
Publisher: American Mathematical Soc.
ISBN: 0821814222
Category : Mathematics
Languages : en
Pages : 302

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Book Description


New Spaces in Physics

New Spaces in Physics PDF Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 110849062X
Category : Mathematics
Languages : en
Pages : 437

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Book Description
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.