LisMath Seminar 

29/11/2017, 17:00 — 18:00 — Room P9, Mathematics Building
Grace Mwakyoma, Universidade de Lisboa

Periodic Hamiltonian flows on four dimensional manifolds

In this seminar, I would like to present the paper of Yael Karshon on Periodic Hamiltonian flows on four dimensional manifolds. We will explore the classification of periodic Hamiltonian flows on compact symplectic 4-manifolds through the use of labelled graphs and show that two such spaces are isomorphic if and only if they have the same graph. Moreover, if time allows we will also see that all these spaces are Kähler manifolds.

Bibliography:

[1] Y. Karshon, Periodic Hamiltonian flows on four dimensional manifolds,
https://arxiv.org/abs/dg-ga/9510004

[2] Y. Karshon, Hamiltonian actions of Lie groups, Ph.D. thesis, Harvard University, April 1993.

[3] A. Cannas da Silva, Lectures on Symplectic Geometry, Springer-Verlag Berlin Heidelberg, 2008.

[4] T. Broecker and K. Janich, Introduction to differential topology, Cambridge University Press, 1982.

[5] D. McDuff and D. Salamon, Introduction to Symplectic Topology, Oxford Mathematical Monographs, 2nd edition, Oxford Univ. Press, 1998.

See also

LisMath Seminar_Grace Mwakyoma.pdf