Time and place: We will meet on Tuesday, 1-2:30pm, in room Math 622 unless noted otherwise.
Topic: Embedded surfaces in 4-manifolds
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|Jan 24||Mike Wong||Diagrams of knotted surfaces|
|Jan 31||Akram Alishahi||Deform spinning, Ribbon surfaces and connected sum|
|Feb 7||Nathan Dowlin||Constructions of knotted surfaces(2)|
|Feb 14||Mike Wong||The exterior of a knotted surface and its fundamental group|
|Feb 21||Zhechi Cheng||Topological Invariants of knotted surfaces(2)|
|Feb 28||James Cornish|
|Mar 14||No talk: Spring break|
|Mar 21||Nathan Dowlin||arXiv:1507.08370|
|Mar 28||Akram Alishahi||arXiv:1504.04086|
|Apr 4||James Cornish||Cancelled|
|Apr 11||James Cornish||arXiv:1310.8516|
|Apr 18||Mike Wong||arXiv:1509.02738|
|Apr 25||Zhechi Cheng||arXiv:1602.08821|
|May 2||Adam Levine||Heegaard Floer invariants for homology S^1xS^3s|
1- S. Carter, S. Kamada, M. Saito, Surfaces in 4-space
2- I. Baykur, N. Sunukjian, Knotted surfaces in 4-manifolds and stabilizations: arXiv:1504.04086 (Akram)
3- A. Juhasz, M. Marengon, Concordance maps in knot Floer homology: arXiv:1509.02738 (Mike)
4- J. Meier, A. Zupan: Bridge trisections of knotted surfaces in S4: arXiv:1507.08370(Nate)
5- I. Gessel, A. Levine, D. Ruberman, S. Strle: Non-orientable surfaces in homology cobordisms: arXiv:1310.8516 (James)
6- P. Kronheimer: Embedded surfaces and gauge theory in three and four dimensions
7- G. Rizell, E. Goodman, A. Ivrii, Lagrangian isotopy of tori in S2×S2 and ℂP2: arXiv:1602.08821 (Zhechi)
May 2: Adam Levine "Heegaard Floer invariants for homology S^1xS^3s"
Abstract: Using Heegaard Floer homology, we construct a numerical invariant for any smooth, oriented 4-manifold X with the homology of S^1 \times S^3. Specifically, we show that for any smoothly embedded 3-manifold Y representing a generator of H_3(X), a suitable version of the Heegaard Floer d invariant of Y, defined using twisted coefficients, is a diffeomorphism invariant of X.