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SUMMARY:Combinatorial 1-Cocycles of String Links Using Gauss Diagrams
DTSTART:20251219T150000Z
DTEND:20251219T183000Z
DTSTAMP:20260425T004200Z
UID:indico-event-15768@indico.math.cnrs.fr
DESCRIPTION:Speakers: Butian Zhang\n\nAmongst other things we are interest
 ed in combinatorial 1-cocycles of order 4 in the space of long knots. The
  space of long knots (i.e.\, the smooth embeddings of ℝ into ℝ³ that 
 agree with the standard embedding of the x-axis outside the interval [-1\,
  1]) has been studied from various perspectives. We adopt a combinatorial 
 approach to loops and 1-cocycles in this space. Using Gauss diagrams\, we 
 construct two nontrivial linearly independent combinatorial 1-cocycles of 
 order 4 over ℤ and an additional one over ℤ/2ℤ. We also calculate th
 eir values on several arcs and loops in the space of long knots\, yielding
  finite type invariants.\n\nhttps://indico.math.cnrs.fr/event/15768/
LOCATION:Amphithéâtre Laurent Schwartz\, bâtiment 1R3 (Institut de Math
 ématiques de Toulouse)
URL:https://indico.math.cnrs.fr/event/15768/
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