کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1894880 1044252 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bundle gerbes and moduli spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Bundle gerbes and moduli spaces
چکیده انگلیسی

In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerbe called the caloron bundle gerbe, which comes with a natural connection and curving, and show that it is isomorphic to the analytically constructed index bundle gerbe. We apply these constructions to certain moduli spaces associated to compact Riemann surfaces, constructing on these moduli spaces, natural bundle gerbes with connection and curving, whose 3-curvature represent Dixmier–Douady classes that are generators of the third de Rham cohomology groups of these moduli spaces.


► Bundle gerbes are degree 3 analogs of complex line bundles.
► The paper constructs an analytically defined index bundle gerbe.
► A geometrically defined caloron bundle gerbe is also constructed.
► It is proved in the paper that these bundle gerbes are isomorphic.
► The constructions apply to moduli spaces associated to compact Riemann surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 1, January 2012, Pages 1–10
نویسندگان
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