Diagrammatic algebra /
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| Author / Creator: | Carter, J. Scott, author. |
|---|---|
| Imprint: | Providence, Rhode Island : American Mathematical Society, [2021] ©2021 |
| Description: | vi, 365 pages : illustrations (some color) ; 26 cm. |
| Language: | English |
| Series: | Mathematical surveys and monographs, 0076-5376 ; Volume 264 Mathematical surveys and monographs ; v. 264. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12720308 |
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| 035 | |a (OCoLC)on1266205502 | ||
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| 020 | |a 1470466716 |q (paperback) | ||
| 020 | |z 9781470468156 |q (ebook) | ||
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| 082 | 0 | 0 | |a 514/.2 |b C3237d |2 23 |
| 084 | |a 55N99 |a 57R42 |2 msc | ||
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| 100 | 1 | |a Carter, J. Scott, |e author. |4 aut | |
| 245 | 1 | 0 | |a Diagrammatic algebra / |c J. Scott Carter, Seiichi Kamada. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2021] | |
| 264 | 4 | |c ©2021 | |
| 300 | |a vi, 365 pages : |b illustrations (some color) ; |c 26 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs, |x 0076-5376 ; |v Volume 264 | |
| 504 | |a Includes bibliographical references (pages 357-360) and index. | ||
| 505 | 0 | |a Elements -- Planar trivalent diagrams -- The multi-category FA -- Triple arrows for FA -- Surfaces in 3-space -- Beyond surfaces -- Parentheses and so forth -- Knots in space -- Foams and surfaces in 4-space -- Higher dimensional braids -- Globular multi-categories. | |
| 520 | |a This book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory. The text is replete with figures, diagrams, and suggestive typography that allows the reader a glimpse into many higher dimensional processes. The penultimate chapter summarizes the previous material by demonstrating how to braid 3- and 4- dimensional manifolds into 5- and 6-dimensional spaces. The book is accessible to post-qualifier graduate students, and will also be of interest to algebraists, topologists and algebraic topologists who would like to incorporate diagrammatic techniques into their research." |c Provided by publisher. | ||
| 650 | 0 | |a Algebraic topology. | |
| 650 | 0 | |a Homology theory. | |
| 650 | 0 | |a Intersection homology theory. | |
| 650 | 6 | |a Topologie algébrique. |0 (CaQQLa)201-0008982 | |
| 650 | 6 | |a Homologie. |0 (CaQQLa)201-0012190 | |
| 650 | 6 | |a Homologie d'intersection. |0 (CaQQLa)201-0369216 | |
| 650 | 7 | |a Algebraic topology. |2 fast |0 (OCoLC)fst00804941 | |
| 650 | 7 | |a Homology theory. |2 fast |0 (OCoLC)fst00959720 | |
| 650 | 7 | |a Intersection homology theory. |2 fast |0 (OCoLC)fst00977500 | |
| 650 | 7 | |a Algebraic topology -- Homology and cohomology theories [See also 57Txx] -- None of the above, but in this section. |2 msc | |
| 650 | 7 | |a Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- Differential topology {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58B. |2 msc | |
| 700 | 1 | |a Kamada, Seiichi, |d 1964- |e author. | |
| 830 | 0 | |a Mathematical surveys and monographs ; |v v. 264. |x 0076-5376 | |
| 929 | |a cat | ||
| 999 | f | f | |s 33110eb1-18dc-400f-a9de-efdbed972afc |i 33110eb1-18dc-400f-a9de-efdbed972afc |
| 928 | |t Library of Congress classification |a QA612.C37 2021 |l Eck |c Eck-Eck |i 12856462 | ||
| 927 | |t Library of Congress classification |a QA612.C37 2021 |l Eck |c Eck-Eck |g SEPS |b 117515180 |i 10381767 | ||