MATH6021A - Topics in Geometry I - 2019/20

Course Name: 
Topics in Geometry I
Teacher: 
Dr. Hanwool BAE
Course Year: 
2019/20
Term: 
1

Announcement

General Information

Lecturer

  • Hanwool Bae
    • Office: 712, Academic Building No. 1
    • Email:

References

  • D. McDuff and D. Salamon, J -holomorphic Curves and Symplectic Topology, Second Edition,American Mathematical Society, vol. 52, 2012.
  • P. Seidel, Fukaya categories and Picard-Lefschetz theory. Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich, 2008.
  • K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono, Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part I, American Mathematical Society, 2009.
  • K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono, Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part 2, American Mathematical Society, 2009.
  • A. Floer, The unregularized gradient flow of the symplectic action. Comm. Pure Appl. Math. 41 (1988), no. 6, 775–813.
  • A. Floer, Morse theory for Lagrangian intersections. J. Differential Geom. 28 (1988), no. 3, 513–547.
  • Y.-G. Oh, Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks 1, Comm. Pure and Appl. Math 46 (1993), 949-904, 905-1012.
  • Y.-G. Oh, Floer cohomology, spectral sequence and the Maslov class of Lagrangian embeddings, Internat. Math. Res. Notices 7 (1996), 305-346.
  • C.-H. Cho, Holomorphic discs, spin structures and Floer cohomology of the Clifford torus, Internat. Math. Res. Notices 35 (2004).
  • C.-H. Cho, Products of Floer Cohomology of Torus Fibers in Toric Fano Manifolds, Communications in Mathematical Physics December 2005, Volume 260, Issue 3, 613–640.
  • C.-H. Cho, Y.-G. Oh, Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds, Asian J. Math., Volume 10, Number 4 (2006), 773-814.
  • D. Auroux, A beginner’s introduction to Fukaya categories, arXiv:1301.7056.
  • M. Abouzaid, A topological model for the Fukaya categories of plumbings, J. Differential Geom., Volume 87, Number 1 (2011), 1-80.
  • M. Abouzaid, On the wrapped Fukaya category and based loops, J. Symplectic Geom., Volume 10, Number 1 (2012), 27-79.
  • M. Abouzaid, A geometric criterion for generating the Fukaya category, Publications Mathématiques de l'IHÉS, Tome 112 (2010), 191-240.
  • M. Abouzaid, A cotangent fibre generates the Fukaya category, Advances in Mathematics Volume 228, Issue 2, 1 October 2011, 894-939.
  • A. F. Ritter, I. Smith, The monotone wrapped Fukaya category and the open-closed string map, Selecta Mathematica, Volume 23, Issue 1, January 2017, 533–642.
  • K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono, Lagrangian Floer theory on compact toric manifolds I, Duke Math. J. Volume 151, Number 1 (2010), 23-175.
  • K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono, Lagrangian Floer theory on compact toric manifolds II: bulk deformations, Selecta Mathematica September 2011, 17:609.
  • B. Chantraine, G. D. Rizell, P. Ghiggini, R. Golovko, Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors, arXiv:1712.09126v3.
  • S. Ganatra, J. Pardon, V. Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publications mathématiques de l'IHÉS, 1–128
  • S. Ganatra, J. Pardon, V. Shende, Structural results in wrapped Floer theory, arXiv:1809.03427v1.
  • S. Ganatra, Symplectic Cohomology and Duality for the Wrapped Fukaya Category, arXiv:1304.7312v1

Lecture Notes


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Last updated: October 27, 2019 15:52:22