SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
March 4, 2022 3:30 pmIt is well-known that for any finite group G, there exists a closed 3-manifold M with G as a quotient of pi_1(M). However, we can ask more detailed questions about the possible...
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SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
February 18, 2022 3:30 pmGiven a link in the thickened annulus, you can construct an associated link in a closed 3-manifold through a double branched cover construction. In this talk we will see that...
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SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
February 11, 2022 3:30 pmWe use a relationship between Heegaard Floer homology and the symplectic Floer homology of surface diffeomorphisms to partially characterize knots with the same knot Floer homology as the torus knot T(2,5). We...
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GAUGE-TOPOLOGY-SYMPLECTIC
March 13, 2020 3:30 pmGiven a slice knot K and a prime power n, the n-th cyclic branched cover \Sigma_n(K) bounds a rational homology ball (Casson-Gordon). Even if one restricts to n=2, this gives a powerful sliceness...
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GAUGE-TOPOLOGY-SYMPLECTIC
March 6, 2020 3:30 pmWe will discuss the classical notion of J-convexity of subsets of complex manifolds, and the closely related notion of Stein manifolds. The theory is particularly subtle in complex dimension 2. Surprisingly, progress...
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GAUGE-TOPOLOGY-SYMPLECTIC
February 28, 2020 3:30 pmWe give the first examples of codimension-1 knotting in the 4-sphere, i.e. there is a 3-ball B_1 with boundary the standard linear 2-sphere, which is not isotopic rel boundary to...
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GAUGE-TOPOLOGY-SYMPLECTIC
February 7, 2020 3:30 pmI'll discuss the Viterbo transfer functor from the (partially) wrapped Fukaya category of a Liouville domain to that of a subdomain. It is a localization when everything in sight is...
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GAUGE-TOPOLOGY-SYMPLECTIC
January 31, 2020 3:30 pmSymplectic embedding problems are at the core of symplectic topology. Many results have been found involving balls, ellipsoids and polydisks. More recently, there has been progress on problems involving lagrangian...
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GAUGE-TOPOLOGY-SYMPLECTIC
December 6, 2019 3:30 pmThe Donaldson-Uhlenbeck-Yau theorem relates the existence of Hermitian-Yang-Mills connections over a compact Kahler manifold with algebraic stability of a holomorphic vector bundle. This has been extended by Bando-Siu in 1994 to a class...
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