20/03/2012, 10:30 — 11:30 — Room P4.35, Mathematics Building
Daniele Sepe, CAMGSD/IST
Lecture IV - (Integral) affine manifolds and Lagrangian fibrations
II
This lecture continues with the study of (integral) affine
manifolds. First, some important invariants associated to these
manifolds (the affine and linear holonomies and the radiance
obstruction) are constructed. Particular attention is devoted to
the radiance obstruction, a cohomology class constructed by Goldman
and Hirsch which contains important information about the given
(integral) affine structure. Secondly, it is proved that a manifold
is the base of any Lagrangian fibre bundle with compact and
connected fibres if and only if it is an integral affine manifold,
which allows to study the problem of constructing all Lagrangian
fibre bundles with compact and connected fibres over a fixed
integral affine manifold. As usual, the theory developed is
illustrated by means of examples.
See also
https://www.math.tecnico.ulisboa.pt/~jmourao/inves/D_Sepe_Lagrangian_Fibrations.pdf
