Fabian Ziltener's publications and preprints

Published or accepted for publication

Classification of Hamiltonian group actions on exact symplectic manifolds with proper momentum maps, Selecta Mathematica 29:72 (2023), 26 pp.

(with Michael Khanevsky:) A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant, arXiv:1102.4892v3, 27 pages, accepted by Differential Geometry and its Applications.

(with Yann Guggisberg:) Recognition of objects through symplectic capacities, arXiv:2202.04028, 23 pages, accepted for publication by Differential Geometry and its Applications.

(with Dušan Joksimović:) Generating sets and representability for symplectic capacities, J. Symplectic Geom., vol. 20, no. 4, 2022, 837-909.

Note on coisotropic Floer homology and leafwise fixed points, Electronic Research Archive, Online First, doi: 10.3934/era.2021001, 11 pages.

A symplectic embedding of the cube with minimal sections and a question by Schlenk, JFPTA, doi: 10.1007/s11784-022-00961-w.

(with Yael Karshon:) Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard., Transactions AMS, vol. 370, no. 2, 2018, 1409-1428.

Leafwise fixed points for C^0-small Hamiltonian flows, IMRN, doi: 10.1093/imrn/rnx182 (2017), 42 pages.

On the strict Arnold chord property and coisotropic submanifolds of complex projective space, Int. Math. Res. Not., 2016, no. 3, 795-826.

(with Khoa Lu Nguyen and Chris Woodward:) Morphisms of CohFT Algebras and Quantization of the Kirwan Map, Symplectic, Poisson and Noncommutative Geometry, MSRI Publications, Vol. 62 (2014), 131-170.

A Quantum Kirwan Map: Bubbling and Fredholm Theory for Symplectic Vortices over the Plane, 129 pages, Mem. Amer. Math. Soc., vol. 230, no. 1082 (2014).

(with Kai Zehmisch:) Discontinuous symplectic capacities, J. Fixed Point Theory Appl., Vol. 14, Iss. 1 (2014), 299-307.

(with Jan Swoboda:) A Symplectically Non-Squeezable Small Set and the Regular Coisotropic Capacity, J. Symplectic Geom., Vol. 11, no. 4 (2013), 1-15.

(with Jan Swoboda:) Hofer Geometry of a Subset of a Symplectic Manifold, Geom. Dedicata, Vol. 163, Iss. 1 (2013), 165-192.

(with Jan Swoboda:) 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, 95--118.

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


(with Yann Guggisberg:) Examples of non-target-representable symplectic capacities, arXiv:2207.08521, 20 pages.


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.


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.