منابع مشابه
Cohomology and Tensor Categories
In this research announcement we propose the notion of a supercategory as an alternative approach to supermathematics. We show that this setting is rich to carry out many of the basic constructions of supermathematics. We also prove generalizations of a number of results in equivariant cohomology, including the Chern-Weil theorem for an arbitrary rigid Lie algebra object. For a quadratic Lie al...
متن کاملCohomology Theories
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected].. Annals of Mathematics is collaborating with JSTOR to digi...
متن کاملCohomology in Tensored Categories
Both [Mac Lane 1965, Beck 1967] have recently defined cohomology theories for algebras in abstract categorial setting. Mac Lane’s theory is an abstract formaization of the (normalised) bar construction (see [Mac Lane 1963, p. 144] for example). Since, however, his proof of the normalization theorem (p. 236) remains perfectly valid, the normalized bar construction can be replaced by the un-norma...
متن کاملSupersymmetric Field Theories and Cohomology
This is the Ph.D. dissertation of the author. The project has been motivated by the conjecture that the Hopkins-Miller tmf spectrum can be described in terms of ‘spaces’ of conformal field theories. In this dissertation, spaces of field theories are constructed as classifying spaces of categories whose objects are certain types of field theories. If such a category has a symmetric monoidal stru...
متن کاملCohomology Theory in 2-categories
Recently, symmetric categorical groups are used for the study of the Brauer groups of symmetric monoidal categories. As a part of these efforts, some algebraic structures of the 2-category of symmetric categorical groups SCG are being investigated. In this paper, we consider a 2-categorical analogue of an abelian category, in such a way that it contains SCG as an example. As a main theorem, we ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1974
ISSN: 0040-9383
DOI: 10.1016/0040-9383(74)90022-6