Gauge Theory and Topology Seminar
March 24, 2023 3:30 pmA knot in the 3-sphere is said to be smoothly slice if it bounds a smoothly embedded disc in the 4-ball. Sliceness questions are closely related to interesting phenomena in 4-manifold topology:...
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Gauge Theory and Topology Seminar, SEMINARS
March 10, 2023 10:30 amFor a Legendrian knot $K$ in a closed contact 3-manifold, we describe a necessary and sufficient condition for contact $n$-surgery along $K$ to yield a weakly symplectically fillable contact manifold,...
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Gauge Theory and Topology Seminar, SEMINARS
March 3, 2023 3:30 pmKhovanov homology can be upgraded to an invariant of pairs (K,V) where K is a framed knot and V is an object of the annular Bar-Natan category (ABN). In this...
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Gauge Theory and Topology Seminar, SEMINARS
February 24, 2023 3:30 pmGiven a knot or link in the 3-sphere, its Murasugi signature is an integer-valued invariant which can easily be computed from a diagram. Work of Herald and Lin gives an...
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Gauge Theory and Topology Seminar, SEMINARS
February 17, 2023 3:30 pmGiven a spatial trivalent graph G, we will first review some of the objects and results from Kronheimer and Mrowka's theory about the instanton invariant J#(G). Motivated by the Tutte...
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Gauge Theory and Topology Seminar, SEMINARS
February 10, 2023 3:30 pmHeegaard Floer homology is an invariant of 3-manifolds, and knots and links within them, introduced by P. Oszváth and Z. Szabó in the early 2000s. Because of its relative computability...
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Gauge Theory and Topology Seminar, SEMINARS
February 3, 2023 3:30 pmWe show that for any closed symplectic manifold, the number of 1-periodic orbits of any non-degenerate Hamiltonian is bounded from below by an integral version of total Betti number which...
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Gauge Theory and Topology Seminar, SEMINARS
January 27, 2023 3:30 pmA major challenge in the study of the structure of the three-dimensional homology cobordism group is to understand the interaction between hyperbolic geometry and homology cobordism. In this talk, I will discuss how...
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Gauge Theory and Topology Seminar, SEMINARS
November 18, 2022 3:30 pmBeyond the tight/overtwisted dichotomy, 3-dimensional contact topology would appear to be dominated by flexibility: a central result of Eliashberg and Mishachev says that the contactomorphism group of the standard contact...
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Gauge Theory and Topology Seminar, SEMINARS
November 11, 2022 3:30 pmA link of an isolated complex surface singularity (X, 0) is a 3-manifold Y which is the boundary of the intersection of X with a small ball centered at 0. Smoothings...
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