Cornered Heegaard Floer Homology. (Record no. 16245)
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| 000 -LEADER | |
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| fixed length control field | 04105nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC6118475 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724114122.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2019 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470455057 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470437718 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC6118475 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL6118475 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1140400946 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA665 |
| Item number | .D684 2019 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Douglas, Christopher L. |
| 245 10 - TITLE STATEMENT | |
| Title | Cornered Heegaard Floer Homology. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2019. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (124 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society Series ; |
| Volume/sequential designation | v.262 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Some abstract 2-algebra -- 2.1. Rectangular 2-algebras -- 2.2. Rectangular algebra-modules and 2-modules -- 2.3. Motility hypotheses and tensor products -- 2.4. Sequential objects and restricted tensor products -- 2.5. Module-2-modules, algebra-bimodules, and bimodule-modules -- Chapter 3. More 2-algebra: Bending and smoothing -- 3.1. The top-right bent tensor product -- 3.2. 2-modules as bent modules -- 3.3. The smoothed tensor product -- 3.4. The bottom-left bent tensor product -- 3.5. \Ainf-2-modules -- Chapter 4. Some homological algebra of 2-modules -- Chapter 5. The algebras and algebra-modules -- 5.1. The algebra associated to a matched circle -- 5.2. The algebra-modules associated to matched intervals -- 5.3. Gluing surfaces with boundary -- Chapter 6. The cornering module-2-modules -- 6.1. The \DD identity module-bimodule -- 6.2. The \DhAA- and \AhDD-cornering modules -- 6.3. The other cornering modules -- Chapter 7. The trimodules \trimod_{ } and \trimod_{ } -- 7.1. Combinatorial descriptions of the trimodules -- 7.2. Computation of \TDDD -- 7.3. Computation of \TDDA -- Chapter 8. Cornered 2-modules for cornered Heegaard diagrams -- 8.1. Cornered Heegaard diagrams -- 8.2. Definition of the cornered 2-modules -- 8.3. Tensor products of cornering module-2-modules -- 8.4. Proofs of the invariance and gluing theorems -- Chapter 9. Gradings -- 9.1. Noncommutative gradings -- 9.2. Gradings on the cornered 2-algebras, algebra-modules, and 2-modules -- 9.3. The graded pairing theorem -- Chapter 10. Practical computations -- 10.1. Induction and restriction functors -- 10.2. The multiplicity-one 2-algebra -- 10.3. An example -- Chapter 11. The nilCoxeter planar algebra -- Bibliography -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Floer homology. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lipshitz, Robert. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Manolescu, Ciprian. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Douglas, Christopher L. |
| Title | Cornered Heegaard Floer Homology |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2019 |
| International Standard Book Number | 9781470437718 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6118475">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6118475</a> |
| Public note | Click to View |
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