Arbeitsgruppe Geiges

Mitarbeiter

Dr. Souheib Allout
Room 207, Phone 0221-470 4349
email: allout at math
Dr. Murat Sağlam
Room 207, Phone 0221-470 4349
email: msaglam at math
Norman Thies, B.Sc.
Room 206, Phone 0221-470 4347
email: norman.thies at uni-koeln dot de

Sekretariat
- Sabine Bröders
  Room 223, Phone 0221-470 5759,
  email: broeders at math
Ehemalige Mitarbeiter
- Dr. Christoph Hummel
- Prof. Fan Ding
- Dr. Federica Pasquotto
- Prof. Otto van Koert
- Prof. Klaus Niederkrüger
- Dr. Mathias Zessin
- Dr. Ingo Wieck
- Dr. Christoph Bock
- Dr. Bijan Sahamie
- Dipl.-Math. Yvonne Deuster
- Prof. Kai Zehmisch
- Dr. Max Dörner
- Dr. Thomas Rot
- Dr. Mirko Klukas
- Dr. Christian Evers
- Dr. Marc Kegel
- Dr. Dominic Jänichen
- Dr. Sebastian Durst
- Dr. Jean Gutt
- Dr. Maÿlis Limouzineau
- Laura Jaust, M.Sc.
- Dr. Tilman Becker
- Dr. Rima Chatterjee
Doktorarbeiten:
1. F. Pasquotto, On the geography of symplectic manifolds,
  Leiden (2004).
2. K. Niederkrüger, Compact Lie group actions on contact manifolds,
  Köln (2005).
3. O. van Koert, Open books for contact five-manifolds and applications of
  contact homology, Köln (2005).
4. I. Wieck, Explicit symplectic packings: Symplectic tunnelling and
  new maximal constructions, Köln (2008).
5. Ch. Bock, On formality and solvmanifolds,
  Köln (2009).
6. B. Sahamie, Dehn twists and Heegaard Floer homology,
  Köln (2009).
7. M. Klukas, Constructions of open books and applications of
  convex surfaces in contact topology, Köln (2012).
8. M. Dörner, The space of contact forms adapted to an open book,
  Köln (2014).
9. M. Kegel, Legendrian knots in surgery diagrams and the knot complement problem,
  Köln (2017).
10. C. Evers, Real contact geometry,
  Köln (2017).
11. S. Durst, Contact open books: Classical invariants and the binding sum,
  Köln (2017).
12. T. Becker, On geodesible vector fields and related geometric structures,
  Köln (2023).
Publikationen:

(Für Publikationen von H. Geiges ohne weitere aktuelle Mitglieder
der Arbeitsgruppe siehe hier.)
1. H. Geiges and D. Rattaggi, Periodic autmorphisms of surfaces: invariant circles
  and maximal orders, Experiment. Math. 9 (2000), 75-84.
2. F. Ding and H. Geiges, Symplectic fillability of tight contact structures on torus bundles,
  Algebr. Geom. Topol. 1 (2001), 153-172.
3. Ch. Hummel, Tubular neighbourhoods of 2-flats in 4-manifolds of nonpositive curvature,
  Geom. Dedicata 86 (2001), 29-36.
4. F. Ding and H. Geiges, A Legendrian surgery presentation of contact 3-manifolds,
  Math. Proc. Cambridge Philos. Soc. 136 (2004), 583-598.
5. F. Pasquotto, Symplectic geography in dimension 8,
  Manuscripta Math. 116 (2005), 341-355.
6. M. Zessin, On contact p-spheres,
  Ann. Inst. Fourier (Grenoble) 55 (2005), 1167-1194.
7. O. van Koert and K. Niederkrüger, Open book decompositions for contact structures on Brieskorn manifolds,
  Proc. Amer. Math. Soc. 133 (2005), 3679-3686.
8. K. Niederkrüger, 5-Dimensional contact SU(2)- and SO(3)-manifolds and Dehn twists,
  Geom. Dedicata 117 (2006), 85-110.
9. H. Geiges and F. Pasquotto, A formula for the Chern classes of symplectic blow-ups,
  J. London Math. Soc. (2) 76 (2007), 313-330.
10. K. Niederkrüger and F. Öztürk, Brieskorn manifolds as contact branched covers of spheres,
  Period. Math. Hungar. 54 (2007), 85-97.
11. M. Zessin, On contact tops and integrable tops,
  Indag. Math. (N.S.) 18 (2007), 305-325.
12. O. van Koert, Contact homology of Brieskorn manifolds,
  Forum Math. 20 (2008), 317-339.
13. O. van Koert, Open books on contact five-manifolds,
  Ann. Inst. Fourier (Grenoble) 58 (2008), 139-157.
14. B. Sahamie, Dehn twists in Heegaard Floer homology,
  Algebr. Geom. Topol. 10 (2010), 465-524.
15. H. Geiges and K. Zehmisch, Eliashberg's proof of Cerf's theorem,
  J. Topol. Anal. 2 (2010), 543-579.
16. Ch. Bock, Geography of non-formal symplectic and contact manifolds,
  Forum Math. 23 (2011), 713-727.
17. H. Geiges and K. Zehmisch, Cerf's theorem and other applications of the filling with holomorphic discs,
  Oberwolfach Reports 8 (2011), 1055-1056.
18. H. Geiges and K. Zehmisch, Symplectic cobordisms and the strong Weinstein conjecture,
  Math. Proc. Cambridge Philos. Soc. 153 (2012), 261-279.
19. K. Zehmisch, The annulus property of simple holomorphic discs,
  J. Symplectic Geom. 11 (2013), 135-161.
20. H. Geiges and K. Zehmisch, How to recognize a 4-ball when you see one,
  Münster J. Math. 6 (2013), 525-554, erratum: pp. 555-556.
21. M. Klukas and B. Sahamie, On prolongations of contact manifolds,
  Proc. Amer. Math. Soc. 141 (2013), 3257-3263.
22. K. Zehmisch, The codisc radius capacity,
  Electron. Res. Announc. Math. Sci. 20 (2013), 77-96.
23. K. Zehmisch and F. Ziltener, Discontinuous symplectic capacities,
  J. Fixed Point Theory Appl. 14 (2013), 299-307.
24. K. Zehmisch, Lagrangian non-squeezing and a geometric inequality,
  Math. Z. 277 (2014), 285-291.
25. M. Dörner, H. Geiges and K. Zehmisch, Open books and the Weinstein conjecture,
  Q. J. Math. 65 (2014), 869-885.
26. H. Geiges, N. Röttgen and K. Zehmisch, Trapped Reeb orbits do not imply periodic ones,
  Invent. Math. 198 (2014), 211-217.
27. H. Geiges and M. Klukas, The fundamental group of the space of contact structures on the 3-torus,
  Math. Res. Lett. 21 (2014), 1257-1262.
28. K. Zehmisch, Holomorphic jets in symplectic manifolds,
  J. Fixed Point Theory Appl. 17 (2015), 379-402.
29. H. Geiges and K. Zehmisch, Reeb dynamics detects odd balls,
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 15 (2016), 663-681.
30. S. Durst, Round handle decompositions of 1-connected 5-manifolds,
  Expo. Math. 34 (2016), 43-61.
31. S. Suhr and K. Zehmisch, Linking and closed orbits,
  Abh. Math. Semin. Univ. Hambg. 86 (2016), 133-150.
32. Ch. Bock, On low-dimensional solvmanifolds,
  Asian J. Math. 20 (2016), 199-262.
33. M. Klukas, Open book decompositions of fibre sums in contact topology,
  Algebr. Geom. Topol. 16 (2016), 1253-1277.
34. S. Durst, M. Kegel and M. Klukas, Computing the Thurston-Bennequin invariant in open books,
  Acta Math. Hungar. 150 (2016), 441-455.
35. S. Durst and M. Kegel, Computing rotation and self-linking numbers in contact surgery diagrams,
  Acta Math. Hungar. 150 (2016), 524-540.
36. M. Dörner, H. Geiges and K. Zehmisch, Finsler geodesics, periodic Reeb orbits, and open books
  Eur. J. Math. 3 (2017), 1058-1075.
37. J. Gutt, The positive equivariant symplectic homology as an invariant for some contact manifolds,
  J. Symplectic Geom. 15 (2017), 1019-1069.
38. M. Klukas, Open books and exact symplectic cobordisms,
  Internat. J. Math. 29 (2018), 1850026, 19 pp.
39. P. Albers, J. Gutt and D. Hein, Periodic Reeb orbits on prequantization bundles,
  J. Mod. Dyn. 12 (2018), 123-150.
40. J. Gutt and M. Hutchings, Symplectic capacities from positive S¹-equivariant symplectic homology,
  Algebr. Geom. Topol. 18 (2018), 3537-3600.
41. M. Kegel, The Legendrian knot complement problem,
  J. Knot Theory Ramifications 27 (2018), 1850067, 36 pp.
42. S. Durst and M. Kegel, Computing rotation numbers in open books,
  J. Gökova Geom. Topol. GGT 12 (2018), 71-92.
43. M. Kegel, Cosmetic contact surgeries along transverse knots and the knot complement problem,
  Topology Appl. 256 (2019), 46-59.
44. S. Durst, H. Geiges and M. Kegel, Handle homology of manifolds,
  Topology Appl. 256 (2019), 113-127.
45. J. Gutt and M. Usher, Symplectically knotted codimension-zero embeddings of domains in R⁴,
  Duke Math. J. 168 (2019), 2299-2363.
46. S. Durst, H. Geiges, J. Gonzalo and M. Kegel, Parallelisability of 3-manifolds via surgery,
  Expo. Math. 38 (2020), 131-137.
47. M. Limouzineau, On Legendrian cobordisms and generating functions,
  J. Knot Theory Ramifications 29 (2020), 2050008, 17 pp.
48. S. Durst, M. Kegel and J. E. Licata, Rotation numbers and the Euler class in open books,
  Michigan Math. J. 70 (2021), 869-888.
49. Ch. Bock, On rational homotopy and minimal models,
  Forum Math. 33 (2021), 283-288.
50. M. Abreu, J. Gutt, J. Kang and L. Macarini, Two closed orbits for non-degenerate Reeb flows,
  Math. Proc. Cambridge Philos. Soc. 170 (2021), 625-660.
51. T. Becker and H. Geiges, The contact structure induced by a line fibration of R³ is standard,
  Bull. Lond. Math. Soc. 53 (2021), 104-107.
52. S. Blackwell, N. Legout, C. Leverson, M. Limouzineau, Z. Myer, Y. Pan, S. Pezzimenti,
  L. S. Suárez and L. Traynor, Construction of Lagrangian cobordisms,
  in: Research Directions in Symplectic and Contact Geometry and Topology,
  Assoc. Women Math. Ser. 27, Springer-Verlag, Cham (2021), 245-272.
53. B. Albach and H. Geiges, Surfaces of section for Seifert fibrations,
  Arnold Math. J. 7 (2021), 573-597.
54. M. Sağlam, Contact forms with large systolic ratio in arbitrary dimensions,
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), 1265-1308.
55. S. Durst and M. Klukas, Nested open books and the binding sum,
  Osaka J. Math. 58 (2021), 189-212.
56. R. Chatterjee, Links in overtwisted contact manifolds,
  Expo. Math. 40 (2022), 231-248.
57. M. Sağlam, Holomorphic curves in symplectizations of lens spaces - an elementary approach,
  Münster J. Math. 15 (2022), 389-440.
58. R. Chatterjee, Transverse links, open books and overtwisted manifolds,
  New York J. Math. 29 (2023), 213-230.
59. H. Geiges and N. Thies, Klein bottles in lens spaces,
  Involve 16 (2023), 621-636.
60. T. Becker, Geodesic and conformally Reeb vector fields on flat 3-manifolds,
  Differential Geom. Appl. 89 (2023), Paper No. 102013, 18 pp.
61. H. Geiges, M. Sağlam and K. Zehmisch, Why bootstrapping for J-holomorphic curves fails in C^k,
  Anal. Math. Phys. 13 (2023), Paper No. 11, 11 pp.
62. A. Abbondandolo, M. R. R. Alves, M. Sağlam and F. Schlenk,
  Entropy collapse versus entropy rigidity for Reeb and Finsler flows,
  Selecta Math. 29 (2023), Paper No. 67, 99 pp.
63. M. Sağlam, Reeb flows with small contact volume and large return time to a global section,
  J. Topol. Anal. 16 (2024), 541-560.
64. H. Geiges, J. Hedicke and M. Sağlam, Bott-integrable Reeb flows on 3-manifolds,
  J. London Math. Soc. (2) 109 (2024), Paper No. e12859, 42 pp.
65. G. Fischer, J. Gutt and M. Jünger, Algorithmic symplectic packing,
  Exp. Math. 33 (2024), 175-192.
66. S. Allout and M. Sağlam: On contact mapping classes of prequantizations,
  Algebr. Geom. Topol. 25 (2025), 2507-2526.
67. R. Chatterjee, J. B. Etnyre, H. Min and A. Mukherjee,
  Existence and construction of non-loose knots,
  Int. Math. Res. Not. IMRN, to appear.
68. T. Becker, Geodesic vector fields, induced contact structures and tightness in dimension three,
  Geom. Dedicata 218 (2024), Paper No. 98, 20 pp.
69. R. Chatterjee and M. Kegel, Contact surgery numbers of Σ(2,3,11) and L(4m+3,4),
  preprint (2024).
70. R. Chatterjee, H. Geiges and S. Onaran, Legendrian Hopf links in L(p,1),
  Q. J. Math., to appear.
71. H. Geiges, J. Hedicke and M. Sağlam, Bott-integrability of overtwisted contact structures,
  preprint (2025).