MAT 645: Symplectic Topology

Stony Brook            Spring 2014

 

Announcements

Because of the related activities at the Simons Center, the class will take place on Tuesdays, 9:55-11:05, and Thursdays, 9:55-11:25.

Here is general information about the course (updated 01/26).

 

Course Instructor

Name: Aleksey Zinger     E-mail: azinger@math     Phone: 632-8288
Office: Math Tower 3-111     Office Hours: W 9-10 in P-143, 10-12 on 3-111

 

Tentative Schedule

Date TopicRead
01/28, TuIntroduction [MS04]: Preface, Chapter 1
[MS98]: Introduction, Chapter 1
01/30, ThEnergy of J-holomorphic curves [MS04]: Sections 2.0-2.2,4.0,4.1
Notes
02/04, TuMean Value Inequality [MS04]: Section 4.3; Notes
02/06, ThRemoval of Singularities: Continuity [MS04]: Sections 2.3,4.5; Notes
02/11, TuLocal Structure of J-Holomorphic Maps [MS04]: Section 2.4; Notes
02/13, Thsnow day
02/18, TuModuli Spaces and Invariants [MS04]: Sections 4.0-4.2
02/20, ThThe Monotonicity Lemma Notes
02/25, TuModuli Spaces and Invariants [MS04]: Sections 4.0-4.2
02/27, ThThe Monotonicity Lemma [MS04]: Section 4.4,4.7; Notes
03/04, TuGromov's Convergence [MS04]: Section 4.7
03/06, ThStable Maps [MS04]: Sections 5.0-5.3
03/11, TuGromov-Witten Invariants [MS04]: Sections 6.6,7.0,7.1
03/13, ThRelative Stable Maps  
03/18, Tu Spring Break; SCGP Workshop
03/20, Th
03/25, TuLinearizations of Bundle Sections [MS04]: Sections 3.0,3.1
[Z1]: Sections 1-2.3,3
03/27, ThLinearizations of dbar-operator
04/01, TuUniversal moduli space [MS04]: Section 3.2
04/03, Th
04/08, TuRegularity of simple maps
04/10, ThSimple vs. somewhere injective maps [MS04]: Section 2.5
04/15, TuThe determinant line bundle [Z2]
04/17, ThSimple nodal maps [MS04]: Sections 6.0-6.3
04/22, TuGW-invariants for semipositive manifolds [MS04]: Sections 6.4,7.0,7.1
[Sh]: Lemma 2.4.1; [ISh]: Lemma 2.3.2
04/24, Th Pseudocycles[MS04]: Section 6.5; [Z3]
04/29, TuAbsolute vs. relative GW-invariants
SCGP 313 @ 11:15 and 2:30
[TZ]
05/01, Th Enumeration of plane rational curves [MS04]: Sections 7.4,7.5
[Z4]: Section 4
05/06, TuQuantum cohomology [MS]: Sections 11.0,11.1
05/08, Th

References

 

This page is maintained by Aleksey Zinger.
Last modified: May 6, 2014.