Faculty of Engineering and Natural Sciences
Equivariant Giroux Correspondence
In 2000, E. Giroux showed that in dimension 3, there is a one-to-one correspondence between open book decompositions and contact structures (up to certain equivalence). Since it relates some purely topological objects to geometrical objects, Giroux.s theorem becomes important and leads to solutions of topological problems by means of contact geometry. In this ongoing project, our aim is to show that such a correspondence can be restated on manifolds which admit certain symmetry.
April 1, 2009, 16:15, FENS 2019