Seminar on Lefschetz fibrations
Time and place: Tuesdays, 2 - 4 pm, HS 134
Further information: Prof. K. Cielibak
or Prof. D. Kotschick
Seminar plan
| Session | Speaker | Topic | |
|---|---|---|---|
| 1.+2. | V. Braungardt C. Bohr |
Lefschetz pencils in algebraic geometry Definition of 4-dimensional smooth Lefschetz fibrations and first examples Monodromy of a Lefschetz fibration, vanishing cycles and Dehn twists, combinatorial description of Lefschetz fibrations Recommended reading: section 8.1 and section 8.2 of [GS], [GH] for Lefschetz pencils in Algebraic Geometry |
|
| 3. | B. Hanke | Symplectic structures on Lefschetz fibrations Recommended reading: [G], section 10.2 in [GS] |
|
| 4.+5.+6. | D. Kotschick S. Terzic F. Loose |
Lefschetz pencils on symplectic manifolds
The global part of [D3] |
|
| 7.+8.+9. | T. Vogel J. Wehrheim |
Lefschetz pencils on symplectic manifolds
The local part of [D3] |
|
| 10.+11. | K. Cieliebak | Applications |
References:
| [GS] | R.E. Gompf, A.I. Stipsicz, 4-manifolds and Kirby calculus, GSM 20, American Mathematical Society, Providence 1999 |
| [G] | R.E. Gompf, A new construction of symplectic 4-manifolds, Ann. of Math. 142 (1995), 527-595 |
| [GH] | P. Griffiths, J. Harris, Principles of algebraic geometry, Wiley, New York 1978 |
| [D1] | S.K. Donaldson, Symplectic submanifolds and almost-complex geometry, J. Differential Geom. 44 (1996), no. 4, 666-705 |
| [D2] | S.K. Donaldson, Lefschetz Fibrations in Symplectic Geometry, Doc.Math.J.DMV Extra Volume ICM II (1998), 309-314 |
| [D3] | S.K. Donaldson, Lefschetz pencils on symplectic manifolds J. Differential Geom. 53 (1999), no. 2, 205-236 |