• Login
    View Item 
    •   Home
    • Faculty/ Researcher Works
    • Faculty/ Researcher Works
    • View Item
    •   Home
    • Faculty/ Researcher Works
    • Faculty/ Researcher Works
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of TUScholarShareCommunitiesDateAuthorsTitlesSubjectsGenresThis CollectionDateAuthorsTitlesSubjectsGenres

    My Account

    LoginRegister

    Help

    AboutPeoplePoliciesHelp for DepositorsData DepositFAQs

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Formality Theorem for Hochschild Cochains via Transfer

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    1007.2427v3.pdf
    Size:
    406.4Kb
    Format:
    PDF
    Download
    Genre
    Journal Article
    Date
    2011-08-01
    Author
    Dolgushev, V
    Subject
    operads
    formality theorems
    homotopy algebras
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/6044
    
    Metadata
    Show full item record
    DOI
    10.1007/s11005-011-0476-y
    Abstract
    We construct a 2-colored operad Ger∞+ which, on the one hand, extends the operad Ger∞ governing homotopy Gerstenhaber algebras and, on the other hand, extends the 2-colored operad governing open-closed homotopy algebras. We show that Tamarkin's Ger∞-structure on the Hochschild cochain complex C•(A, A) of an A∞-algebra A extends naturally to a Ger∞+-structure on the pair (C•(A, A), A). We show that a formality quasi-isomorphism for the Hochschild cochains of the polynomial algebra can be obtained via transfer of this Ger∞+-structure to the cohomology of the pair (C•(A, A), A). We show that Ger∞+ is a sub DG operad of the first sheet E1(SC) of the homology spectral sequence for the Fulton-MacPherson version SC of Voronov's Swiss Cheese operad. Finally, we prove that the DG operads Ger∞+ and E1(SC) are non-formal. © 2011 Springer.
    Citation to related work
    Springer Science and Business Media LLC
    Has part
    Letters in Mathematical Physics
    ADA compliance
    For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/6026
    Scopus Count
    Collections
    Faculty/ Researcher Works

    entitlement

     
    DSpace software (copyright © 2002 - 2023)  DuraSpace
    Temple University Libraries | 1900 N. 13th Street | Philadelphia, PA 19122
    (215) 204-8212 | scholarshare@temple.edu
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.