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SUMMARY:Orientation flow for real skew-adjoint Fredholm operators with odd
-dimensional kernel
DTSTART:20240606T141500Z
DTEND:20240606T151500Z
DTSTAMP:20240813T222600Z
UID:indico-event-780@events.gwdg.de
DESCRIPTION:Speakers: Nora Christine Doll\n\nThe orientation flow of paths
of bounded real skew-adjoint Fredholm operators with invertible endpoints
was studied by Carey\, Phillips and Schulz-Baldes. In this talk an orient
ation flow of norm-continuous paths of bounded real skew-adjoint Fredholm
operators with odd-dimensional kernel is introduced and studied. This orie
ntation flow is defined with respect to a real one-dimensional reference p
rojection. It is homotopy invariant and fulfills a concatenation property.
When applied to closed paths it is independent of the reference projectio
n and provides an isomorphism of the fundamental group of the space of bou
nded real skew-adjoint Fredholm operators with odd-dimensional kernel\, eq
uipped with the norm topology\, to Z_2.\n\nhttps://events.gwdg.de/event/78
0/
LOCATION:Sitzungszimmer (MI)
URL:https://events.gwdg.de/event/780/
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