MTH 827 Topics in Topology (Seiberg-Witten Theory)

Syllabus

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Final Presentations:

Alexander and Seiberg-Witten invariants of 3-manifolds by Alyson and Gary based on

Guowu Meng and Clifford H. Taubes, $\underline{SW}$=Milnor Torsion, Matt. Res. Lett. 3 (1996), no. 5, 661-674.

Seiberg-Witten invariants and contact structures by Xiao and Chen based on

Paolo Lisca and Gordana Matic, Tight contact structures and Seiberg-Witten invariants, Invent. Math. 129 (1997), no. 3, 509-525.

Minimal genus problem in 4-manifolds by Fun and Yongle based on

Peter Kronheimer, Minimal genus in $S^1\times M^3$, Invent. Math. 135 (1999), no. 1, 45-61.

Floer homology and fibered knots by John based on

Peter Kronheimer and Tomasz Mrowka, Knots, sutures, and excision, J. Differential Geom. 84 (2010), no. 2, 301-364.