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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| Date | Speaker | Title |
|---|---|---|
| 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 7 | ||
| 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 |
References:
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.