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SUMMARY:Russell Avdek (Institut de Mathématiques de Jussieu\, Sorbonne Un
 iversité)
DTSTART:20260311T123000Z
DTEND:20260311T133000Z
DTSTAMP:20260417T224707Z
UID:PHK-cohomology-seminar/150
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/150/">Numerical invariants of contact manifolds and their divis
 ors</a>\nby Russell Avdek (Institut de Mathématiques de Jussieu\, Sorbonn
 e Université) as part of Prague-Hradec Kralove seminar Cohomology in alge
 bra\, geometry\, physics and statistics\n\nLecture held in ZOOM meeting.\n
 \nAbstract\nI will introduce an invariant E(K) of codim=2 contact submanif
 olds K of a contact manifold (of any dimension)\, generalizing the self-li
 nking number SL(K) of transverse links in the contact 3-sphere. Extending 
 the observation that SL(L)=1 mod 2 for knots\, modular properties E(K) are
  intimately related to the divisibilities of certain Chern numbers. A gene
 ralization of Gompf's d3 invariant of contact 3-manifolds is also defined 
 and used to uncover surprising properties of E(K). These tools provide nov
 el information about Milnor numbers of complex hypersurface singularities.
 \n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/150/
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