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The basic bundle gerbe on unitary groups | | Michael K Murray
; Danny Stevenson
; | | Date: |
22 Apr 2008 | | Abstract: | We consider the construction of the basic bundle gerbe on SU(n) introduced by
Meinrenken and show that it extends to a range of groups with unitary actions
on a Hilbert space including U(n), diagonal tori and the Banach Lie group of
unitary operators differing from the identity by an element of a Schatten
ideal. In all these cases we give an explicit connection and curving on the
basic bundle gerbe and calculate the real Dixmier-Douady class. Extensive use
is made of the holomorphic functional calculus for operators on a Hilbert
space. | | Source: | arXiv, 0804.3464 | | Services: | Forum | Review | PDF | Favorites | |
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