SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
November 10, 2023 3:30 pmA hyperbolic 3-manifold M carries a flat PSL(2;C)-connection whose Chern-Simons invariant has been much studied since the early 1980's. For example, its real part is the volume of M. Explicit...
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SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
October 27, 2023 3:30 pmQuantum UV-IR map (a.k.a. q-nonabelianization map), introduced by Neitzke and Yan, is a map from UV line defects in a 4d N=2 theory of class S to those of the...
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SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
October 20, 2023 3:30 pmWe prove an exact triangle relating the knot instanton homology to the instanton homology of surgeries along the knot. As the knot instanton homology is computable in many instances, this...
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SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
October 13, 2023 3:30 pmFreedman recently posed a new question in quantitative topology about link packings. Given a link L, define the $\epsilon$-diagonal packing number $n_{L(\epsilon)}$ to be the number of copies of L...
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Gauge Theory and Topology Seminar, SEMINARS
September 29, 2023 3:30 pmSEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
September 15, 2023 3:30 pmSince Floer's work in 1988, various Floer homologies have been constructed for closed 3-manifolds, knots, and sutured manifolds. In 2008, Kronheimer-Mrowka proposed a conjecture about isomorphisms among Floer homologies. In...
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Gauge Theory and Topology Seminar, SEMINARS
May 5, 2023 3:30 pmConsider a planar graph G, and form the lattice of integer-valued flows on G. Is it the case that this lattice embeds into the lattice of integer points in Euclidean...
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Gauge Theory and Topology Seminar, SEMINARS
April 21, 2023 3:30 pmA slope p/q is said to be characterising for a knot K if the oriented homeomorphism type of the manifold obtained by performing Dehn surgery of slope p/q on K...
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Gauge Theory and Topology Seminar, SEMINARS
April 14, 2023 3:30 pmWe calculate the monopole Floer spectra of almost-rational plumbings, including all Seifert-fibered rational homology spheres, following ideas from lattice homology. We'll also talk about a key ingredient, an exact triangle...
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Gauge Theory and Topology Seminar, SEMINARS
April 7, 2023 3:30 pmAs 7-manifolds with special holonomy, examples of compact G2-manifolds were first constructed by Joyce as resolutions of flat G2-orbifolds. Later Walpuski constructed non-trivial G2-instantons over Joyce’s manifolds via gluing techniques. In this...
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