Research

My research interest is contact and symplectic topology.

The standard contact structure

Construction of contact manifolds and non-fillability

  1. Otto van Koert, Klaus Niederkrüger Open Book decompositions for contact structures on Brieskorn manifolds Proc. Amer. Math. Soc. 133 (2005), 3679-3686.
  2. Otto van Koert Open books on contact five-manifolds final version in Annales de l'institut Fourier, 58 no. 1 (2008), p.~139-157
  3. Klaus Niederkrüger, Otto van Koert Every contact manifold can be given a non-fillable contact structure final version in International Mathematics Research Notices (2007) Vol. 2007 : article ID rnm115, 22 pages, doi:10.1093/imrn/rnm115.
  4. Frédéric Bourgeois, Otto van Koert Contact homology of left-handed stabilizations and plumbing of open books final version in Commun. Contemp. Math. 12 (2010), no. 2, 223–263.
  5. Fan Ding, Hansjörg Geiges, Otto van Koert Diagrams for contact 5-manifolds J. London Math. Soc. (2) 86 (2012), 657-682.
  6. River Chiang, Fan Ding, Otto van Koert Non-fillable invariant contact structures on principal circle bundles and left-handed twists preprint
  7. Burak Ozbagci, Otto van Koert Contact open books with exotic pages Arch. Math. (Basel) 104 (2015), no. 6, 551-560.

Orbits and knots in the restricted 3-body problem (after Levi-Civita regularization)

Dynamics, Maslov indices and the 3-body problem

  1. Peter Albers, Gabriel Paternain, Urs Frauenfelder, Otto van Koert The contact geometry of the restricted 3-body problem Communications on Pure and Applied Mathematics Volume 65, Issue 2, pages 229–263, February 2012
  2. Peter Albers, Joel Fish, Urs Frauenfelder, Helmut Hofer, Otto van Koert Global surfaces of section in the planar restricted 3-body problem Archive for Rational Mechanics and Analysis April 2012, Volume 204, Issue 1, pp 273-284
  3. Kai Cieliebak, Urs Frauenfelder, Otto van Koert The Cartan geometry of the rotating Kepler problem to appear in Publicationes Mathematicae Debrecen under the title "The Finsler geometry of the rotating Kepler problem
  4. Peter Albers, Joel Fish, Urs Frauenfelder, Otto van Koert The Conley-Zehnder indices of the rotating Kepler problem in Mathematical Proceedings of the Cambridge Philosophical Society
  5. Urs Frauenfelder, Otto van Koert The Hormander index of symmetric periodic orbits in Geometriae Dedicata
  6. Urs Frauenfelder, Otto van Koert Symmetric periodic orbits and uniruled real Liouville domains preprint

Invariants of contact and symplectic manifolds and applications

  1. Otto van Koert Contact homology of Brieskorn manifolds final version in Forum Math. 20 (2008), no. 2, p.~317-339.
  2. Urs Frauenfelder, Felix Schlenk, Otto van Koert Displaceability and the mean Euler characteristic final version in Kyoto J. Math. Volume 52, Number 4 (2012), 797-815.
  3. River Chiang, Fan Ding, Otto van Koert Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic preprint, to appear in Journal of Symplectic Geometry
  4. Charles P. Boyer, Leonardo Macarini, Otto van Koert Brieskorn Manifolds, Positive Sasakian Geometry, and Contact Topology preprint

Other papers and surveys

  1. Otto van Koert, Martin Lübke The natural metric in the Horrocks-Mumford bundle is not Hermitian-Einstein preprint 2000
  2. Yuri Chekanov, Otto van Koert, Felix Schlenk Minimal atlases of closed contact manifolds to appear in Proceedings of the Conference ``New Perspectives and Challenges in Symplectic Field Theory''.
  3. Myeonggi Kwon, Otto van Koert Brieskorn manifolds in contact topology preprint: a survey (including some new results) on Brieskorn manifolds and their role in contact topology. This paper got a lot longer and now contains a proof of the Morse-Bott spectral sequence for symplectic homology (both non-equivariant and equivariant).
  4. Otto van Koert Lecture notes on stabilization of contact open books Lecture notes on open books: just stabilization and things related to surgery so far, but I might add more later. Its basic goal right now is to provide a reference for stabilization.

Thesis