Massey products in differential cohomology via stacks
We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting...
Gespeichert in:
| Veröffentlicht in: | Journal of homotopy and related structures 2018-03, Vol.13 (1), p.169-223 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 223 |
|---|---|
| container_issue | 1 |
| container_start_page | 169 |
| container_title | Journal of homotopy and related structures |
| container_volume | 13 |
| creator | Grady, Daniel Sati, Hisham |
| description | We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting and the algebraic machinery via stacks allow for computations and make the construction well-suited for applications. We illustrate with several examples from differential geometry and mathematical physics. |
| doi_str_mv | 10.1007/s40062-017-0178-y |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2008924446</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2008924446</sourcerecordid><originalsourceid>FETCH-LOGICAL-c359t-ff21036b0ed160559ef35cfbeebd9b5668f823b85819d3a07f2201aca2fbfa583</originalsourceid><addsrcrecordid>eNp1UMtKAzEUDaJgqf0AdwOuo_cmk5lkKcVHoeJG1yGTSerUdlKTqTB_b8oIrrxwuJvz4hByjXCLAPVdKgEqRgHrEyQdz8gMBTLKpMJzMmOoOJUl1JdkkdIW8nEhVFnPiHgxKbmxOMTQHu2Qiq4v2s57F10_dGZX2PAR9mEXNmPx3ZkiDcZ-pity4c0uucXvn5P3x4e35TNdvz6tlvdrarlQA_WeIfCqAddiBTnReS6sb5xrWtWIqpJeMt5IIVG13EDtGQM01jDfeCMkn5ObyTfX-zq6NOhtOMY-R2oGIBUry7LKLJxYNoaUovP6ELu9iaNG0KeB9DSQzuOcIPWYNWzSpMztNy7-Of8v-gFdJ2ih</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2008924446</pqid></control><display><type>article</type><title>Massey products in differential cohomology via stacks</title><source>SpringerLink Journals - AutoHoldings</source><creator>Grady, Daniel ; Sati, Hisham</creator><creatorcontrib>Grady, Daniel ; Sati, Hisham</creatorcontrib><description>We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting and the algebraic machinery via stacks allow for computations and make the construction well-suited for applications. We illustrate with several examples from differential geometry and mathematical physics.</description><identifier>ISSN: 2193-8407</identifier><identifier>EISSN: 1512-2891</identifier><identifier>DOI: 10.1007/s40062-017-0178-y</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algebra ; Algebraic Topology ; Differential geometry ; Functional Analysis ; Machinery and equipment ; Mathematics ; Mathematics and Statistics ; Number Theory ; Stacks ; Well construction</subject><ispartof>Journal of homotopy and related structures, 2018-03, Vol.13 (1), p.169-223</ispartof><rights>Tbilisi Centre for Mathematical Sciences 2017</rights><rights>Tbilisi Centre for Mathematical Sciences 2017.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-ff21036b0ed160559ef35cfbeebd9b5668f823b85819d3a07f2201aca2fbfa583</citedby><cites>FETCH-LOGICAL-c359t-ff21036b0ed160559ef35cfbeebd9b5668f823b85819d3a07f2201aca2fbfa583</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40062-017-0178-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40062-017-0178-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Grady, Daniel</creatorcontrib><creatorcontrib>Sati, Hisham</creatorcontrib><title>Massey products in differential cohomology via stacks</title><title>Journal of homotopy and related structures</title><addtitle>J. Homotopy Relat. Struct</addtitle><description>We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting and the algebraic machinery via stacks allow for computations and make the construction well-suited for applications. We illustrate with several examples from differential geometry and mathematical physics.</description><subject>Algebra</subject><subject>Algebraic Topology</subject><subject>Differential geometry</subject><subject>Functional Analysis</subject><subject>Machinery and equipment</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Number Theory</subject><subject>Stacks</subject><subject>Well construction</subject><issn>2193-8407</issn><issn>1512-2891</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UMtKAzEUDaJgqf0AdwOuo_cmk5lkKcVHoeJG1yGTSerUdlKTqTB_b8oIrrxwuJvz4hByjXCLAPVdKgEqRgHrEyQdz8gMBTLKpMJzMmOoOJUl1JdkkdIW8nEhVFnPiHgxKbmxOMTQHu2Qiq4v2s57F10_dGZX2PAR9mEXNmPx3ZkiDcZ-pity4c0uucXvn5P3x4e35TNdvz6tlvdrarlQA_WeIfCqAddiBTnReS6sb5xrWtWIqpJeMt5IIVG13EDtGQM01jDfeCMkn5ObyTfX-zq6NOhtOMY-R2oGIBUry7LKLJxYNoaUovP6ELu9iaNG0KeB9DSQzuOcIPWYNWzSpMztNy7-Of8v-gFdJ2ih</recordid><startdate>20180301</startdate><enddate>20180301</enddate><creator>Grady, Daniel</creator><creator>Sati, Hisham</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20180301</creationdate><title>Massey products in differential cohomology via stacks</title><author>Grady, Daniel ; Sati, Hisham</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-ff21036b0ed160559ef35cfbeebd9b5668f823b85819d3a07f2201aca2fbfa583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Algebra</topic><topic>Algebraic Topology</topic><topic>Differential geometry</topic><topic>Functional Analysis</topic><topic>Machinery and equipment</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Number Theory</topic><topic>Stacks</topic><topic>Well construction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grady, Daniel</creatorcontrib><creatorcontrib>Sati, Hisham</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of homotopy and related structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grady, Daniel</au><au>Sati, Hisham</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Massey products in differential cohomology via stacks</atitle><jtitle>Journal of homotopy and related structures</jtitle><stitle>J. Homotopy Relat. Struct</stitle><date>2018-03-01</date><risdate>2018</risdate><volume>13</volume><issue>1</issue><spage>169</spage><epage>223</epage><pages>169-223</pages><issn>2193-8407</issn><eissn>1512-2891</eissn><abstract>We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting and the algebraic machinery via stacks allow for computations and make the construction well-suited for applications. We illustrate with several examples from differential geometry and mathematical physics.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s40062-017-0178-y</doi><tpages>55</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2193-8407 |
| ispartof | Journal of homotopy and related structures, 2018-03, Vol.13 (1), p.169-223 |
| issn | 2193-8407 1512-2891 |
| language | eng |
| recordid | cdi_proquest_journals_2008924446 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebra Algebraic Topology Differential geometry Functional Analysis Machinery and equipment Mathematics Mathematics and Statistics Number Theory Stacks Well construction |
| title | Massey products in differential cohomology via stacks |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-13T02%3A52%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Massey%20products%20in%20differential%20cohomology%20via%20stacks&rft.jtitle=Journal%20of%20homotopy%20and%20related%20structures&rft.au=Grady,%20Daniel&rft.date=2018-03-01&rft.volume=13&rft.issue=1&rft.spage=169&rft.epage=223&rft.pages=169-223&rft.issn=2193-8407&rft.eissn=1512-2891&rft_id=info:doi/10.1007/s40062-017-0178-y&rft_dat=%3Cproquest_cross%3E2008924446%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2008924446&rft_id=info:pmid/&rfr_iscdi=true |