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CATEGORIES:Junior Geometry Seminar
SUMMARY:Projective twists in a plumbing configuration of p
rojective spaces - Brunella Charlotte Torricelli\,
Cambridge University
DTSTART;TZID=Europe/London:20190510T160000
DTEND;TZID=Europe/London:20190510T170000
UID:TALK124423AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/124423
DESCRIPTION:Ever since Seidel's early work on Dehn twists arou
nd Lagrangian spheres\, this class of symplectomor
phisms has gained the attention of the symplectic
community. In particular\, these maps have supplie
d insightful examples of nontrivial symplectomorph
isms that are not detectable by the smooth structu
re. The study of symplectic mapping class groups t
hrough the lens of Dehn twists and the relations t
hey satisfy has become an active and fruitful area
of research in symplectic topology. Little is kno
wn about the role of the projective counterparts o
f Dehn twists (around Lagrangian projective spaces
)\, the so-called projective twists\, within the s
ymplectic mapping class group. In this talk I will
explain how to use results of Keating and Barth-G
eiges-Zehmish established for Dehn twists to infer
new information about projective twists. In the c
ases I consider\, (the functors induced by) these
symplectomorphisms are related to each other by an
appropriate Lagrangian correspondence (in the set
ting of Mau-Woodward-Wehrheim theory). In particul
ar\, we obtain a free generation result for two pr
ojective twists along the core components of a plu
mbing of projective spaces\, and a milder statemen
t for a more general setting in certain Liouville
manifolds.
LOCATION:MR13
CONTACT:
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