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SUMMARY:Ana Rechtman (Université de Strasbourg): Broken books and Reeb dy
namics in dimension 3
DTSTART;VALUE=DATE-TIME:20210518T130000Z
DTEND;VALUE=DATE-TIME:20210518T135000Z
DTSTAMP;VALUE=DATE-TIME:20220924T173100Z
UID:indico-contribution-5350@indico.math.cnrs.fr
DESCRIPTION:Giroux’s correspondance gives\, in particular\, for every co
ntact structure on a closed 3-manifold an adapted open book decomposition.
Hence\, it exists a Reeb vector that is tangent to the binding and transv
erse to the interior of the pages. For this vector field\, each page is a
Birkhoff section and the dynamics of the flow can be studied from the firs
t return map. This correspondence is unsatisfactory when one wants to stud
y all the Reeb vector fields associated to a contact structure. \n\nIn col
laboration with V. Colin and P. Dehornoy\, we proved that every non-degene
rate Reeb vector field on a closed 3-manifold is adapted to a broken book
(a generalisation of an open book). This construction gives a system of tr
ansverse surfaces with boundary and allows to establish results on the dyn
amics of the vector field.\n\nhttps://indico.math.cnrs.fr/event/5787/contr
ibutions/5350/
LOCATION:ZOOM (En ligne)
RELATED-TO:indico-event-5787@indico.math.cnrs.fr
URL:https://indico.math.cnrs.fr/event/5787/contributions/5350/
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