BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Florian Naef
DTSTART:20220509T120000Z
DTEND:20220509T130000Z
DTSTAMP:20260710T081432Z
UID:paris-algebra-seminar/93
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paris-algebr
 a-seminar/93/">The (non-)homotopy invariance of the string coproduct</a>\n
 by Florian Naef as part of Paris algebra seminar\n\n\nAbstract\nA Calabi-Y
 au structure on a smooth algebra allows one to identify Hochschild homolog
 y with Hochschild cohomology. With this identification Hochschild homology
  acquires an additional Gerstenhaber algebra structure. One way to formula
 te the amount of structure one has on Hochschild homology is to encode it 
 into a 2d TFT. This explains some of the string topology operations on the
  free loop space of a manifold\, but not the string coproduct. If the alge
 bra has additional structure (trivialization of its Hattori-Stalling Euler
  characteristic) one obtains an extra secondary operation on Hochschild ho
 mology\, which recovers the string coproduct. Finally\, in the free loop s
 pace setting\, this additional structure can either be recovered from inte
 rsection theory of the manifold or from its underlying simple homotopy typ
 e\, thus relating the two. Using this last relation one can express the di
 fference between the string coproduct of two homotopic but not necessarily
  homeomorphic manifolds in terms of Whitehead torsion.\nThis is joint work
  with Pavel Safronov\n
LOCATION:https://researchseminars.org/talk/paris-algebra-seminar/93/
END:VEVENT
END:VCALENDAR