Fabian Ziltener's publications and preprints

Theses

Symplectic Vortices on the Complex Plane and Quantum Cohomology, Ph.D.-thesis, ETH Zurich, May 2006, 258 pages.

Floer-Gromov-Compactness and Stable Connecting Orbits, diploma thesis, ETH Zurich, April 2002, 70 pages.

Published or accepted

Coisotropic Submanifolds, Leafwise Fixed Points, and Presymplectic Embeddings, to appear in J. Symplectic Geom. 8 (2010), no. 1, 1--24.

The Invariant Symplectic Action and Decay for Vortices, J. Symplectic Geom. 7 (2009), no. 3, 357--376.

Submitted

A Quantum Kirwan Map, I: Fredholm Theory, May 2009, arXiv:0905.4047, 39 pages.

Preprints

A Maslov Map for Coisotropic Submanifolds, Leaf-wise Fixed Points and Presymplectic Non-Embeddings, November 2009, arXiv:0911.1460, 47 pages.

Gromov-Witten Invariants and Symplectic Vortices, overview article, April 2005, 48 pages.

In preparation

A Quantum Kirwan Map, II: Bubbling, currently 91 pages.

A Quantum Kirwan Map, III: Transversality, currently 5 pages.

(joint with Christopher Woodward:)
Functoriality for Gromov-Witten invariants under symplectic quotients, currently 44 pages.

(joint with Eduardo Gonzales, Andreas Ott and Christopher Woodward:)
Symplectic vortices with fixed holonomy at infinity, currently 59 pages.

(joint with Yael Karshon:)
Hamiltonian group actions on exact symplectic manifolds with proper moment maps are standard, currently 19 pages.

(joint with Jan Swoboda:)
Leafwise Fixed Points, Exotic Symplectic Structures, and Relative Hofer Diameters, currently 7 pages.