• Login
    View Item 
    •   Digital Repository Home
    • TCNJ Scholars (Faculty and Student Research)
    • Faculty Research
    • Mathematics & Statistics Department
    • View Item
    •   Digital Repository Home
    • TCNJ Scholars (Faculty and Student Research)
    • Faculty Research
    • Mathematics & Statistics Department
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Generalized Casson Invariants for SO(3),U(2),Spin(4) , and SO(4)

    Thumbnail
    Date
    1994
    Author
    Curtis, Cynthia
    Metadata
    Show full item record
    Abstract
    Abstract
    We investigate Casson-type invariants corresponding to the low-rank groups $\mathrm{SO}(3), \mathrm{SU}(2) \times S^1, \mathrm{U}(2), \operatorname{Spin}(4)$ and SO(4). The invariants are defined following an approach similar to those of K. Walker and S. Cappell, R. Lee, and E. Miller. We obtain a description for each of the invariants in terms of the SU(2)-invariant. Thus, all of them may be calculated using formulae for the SU(2)-invariant. In defining these invariants, we offer methods which should prove useful for studying the invariants for other non-simply-connected groups once the invariants for the simply-connected covering groups are known.
    Citation:
    Generalized Casson Invariants for SO(3), U(2), Spin(4), and SO(4), Transactions of the American Mathematical Society 343 (1994), 49-86.
    Description
    File not available for download due to copyright restrictions
    URI
    http://dx.doi.org/10.2307/2154521
    Collections
    • Mathematics & Statistics Department

    DSpace software copyright © 2002-2016  DuraSpace
    | Send Feedback
    Theme by 
    Atmire NV
     

     

    Browse

    All of RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    DSpace software copyright © 2002-2016  DuraSpace
    | Send Feedback
    Theme by 
    Atmire NV