Fabian Ziltener's publications and preprints

Published or accepted for publication

A Quantum Kirwan Map: Bubbling and Fredholm Theory, 129 pages, arXiv:1209.5866, accepted with revisions by Mem. Amer. Math. Soc., revised version submitted.

(with Jan Swoboda (MPI Bonn):) A Symplectically Non-Squeezable Small Set and the Regular Coisotropic Capacity, arXiv:1203.2395, 15 pages, to appear in J.~Symplectic Geom.

(with Jan Swoboda (MPI Bonn):) Hofer Geometry of a Subset of a Symplectic Manifold, Online First, Geom. Dedicata, 28 pages, to appear in printed form.

(with Jan Swoboda (MPI Bonn, Germany):)
Coisotropic Displacement and Small Subsets of a Symplectic Manifold, Math. Z., Vol. 271, Iss. 1 (2012), p. 415--445.

Coisotropic Submanifolds, Leafwise Fixed Points, and Presymplectic Embeddings, 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.

(with Khoa Lu Nguyen and Chris Woodward (Rutgers University):) Morphisms of CohFT Algebras and Quantization of the Kirwan Map, arXiv:0903.4459, 32 pages, to appear in Proceedings of the Hayashibara Forum.

Submitted

(with Kai Zehmisch (University of Cologne):) A Discontinuous Capacity, arXiv:1208.6000, 6 pages.

Relative Hofer Geometry and the Asymptotic Hofer-Lipschitz Constant, arXiv:1102.4892, 41 pages.

Preprints

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

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

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.

In preparation

(with Andreas Ott (MPI Bonn):)
Gauged Gromov-Witten invariants for monotone symplectic manifolds.

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

(with Eduardo Gonzalez (UMass Boston), Andreas Ott (MPI Bonn) and Chris Woodward:)
Symplectic vortices with fixed holonomy at infinity, currently 59 pages.