کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4660385 | 1344365 | 2010 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generating varieties, Bott periodicity and instantons
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
Let G be the classical group and let Mk(G) be the based moduli space of G-instantons on S4 with instanton number k. It is known that Mk(G) yields real and symplectic Bott periodicity, however an explicit geometric description of the homotopy equivalence has not been known. We consider certain orbit spaces in Mk(G) and show that the restriction of the inclusion of Mk(G) into the moduli space of connections, which, in turn, is explicitly described by the commutator map of G. We prove this restriction satisfies a triple loop space version of the generating variety argument of Bott (1958) [5], and it also gives real and symplectic Bott periodicity. This also gives a new proof of real and symplectic Bott periodicity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 157, Issue 3, 15 February 2010, Pages 657-668
Journal: Topology and its Applications - Volume 157, Issue 3, 15 February 2010, Pages 657-668