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Categorical Perspectives

Posted By: AvaxGenius
Date: 1 Feb 2024 05:56:35
Categorical Perspectives

Categorical Perspectives by Jürgen Koslowski, Austin Melton
English | PDF | 2001 | 285 Pages | ISBN : 0817641866 | 23.1 MB

"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas.
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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality

Posted By: AvaxGenius
Date: 12 May 2023 10:19:36
Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality

Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality by Gunther Cornelissen , Norbert Peyerimhoff
English | PDF EPUB (True) | 2023 | 120 Pages | ISBN : 3031277031 | 7.6 MB

The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric (coverings).
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Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces

Posted By: AvaxGenius
Date: 19 Sep 2022 03:39:54
Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces

Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces by I. R. Shafarevich
English | PDF | 1996 | 270 Pages | ISBN : 3642646077 | 24.9 MB

This EMS volume consists of two parts. The first part is devoted to the exposition of the cohomology theory of algebraic varieties. The second part deals with algebraic surfaces. The authors, who are well-known experts in the field, have taken pains to present the material rigorously and coherently. The book contains numerous examples and insights on various topics. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
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Equivariant Cohomology of Configuration Spaces Mod 2: The State of the Art

Posted By: AvaxGenius
Date: 10 Sep 2022 08:16:40
Equivariant Cohomology of Configuration Spaces Mod 2: The State of the Art

Equivariant Cohomology of Configuration Spaces Mod 2: The State of the Art by Pavle V. M. Blagojević, Frederick R. Cohen, Michael C. Crabb, Wolfgang Lück, Günter M. Ziegler
English | EPUB | 2022 | 232 Pages | ISBN : 3030841375 | 15.3 MB

This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(ℝ^d,n) from its beginnings to recent developments. This subject has been studied intensively, starting with the classical papers of Artin (1925/1947) on the theory of braids, and progressing through the work of Fox and Neuwirth (1962), Fadell and Neuwirth (1962), and Arnol'd (1969). The focus of this book is on the mod 2 equivariant cohomology algebras of F(ℝ^d,n), whose additive structure was described by Cohen (1976) and whose algebra structure was studied in an influential paper by Hung (1990). A detailed new proof of Hung's main theorem is given, however it is shown that some of the arguments given by him on the way to his result are incorrect, as are some of the intermediate results in his paper.
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Research in Computational Topology 2

Posted By: AvaxGenius
Date: 10 Sep 2022 08:00:31
Research in Computational Topology 2

Research in Computational Topology 2 by Ellen Gasparovic, Vanessa Robins, Katharine Turner
English | EPUB | 2022 | 304 Pages | ISBN : 3030955184 | 36.2 MB

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations and research specializations to interact extensively and collectively contribute to new and active research directions in the field. The prestigious senior researchers that signed on to head projects at the workshop are global leaders in the discipline, and two of them were authors on some of the first papers in the field.
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