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Our goal is to learn about the constructive and obstructive approaches to studying (mostly smooth) slice genus.
If you are interested in speaking, or have any questions, please contact Siddhi!
We will be meeting on Thursdays from 1-2 in Maloney 560.
Relevant Resources:
Relevant Resources:
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture [Freedman-Gompf-Morrison-Walker]
Satellites and concordance of knots in 3-manifolds [Friedl-Nagel-Orson-Powell]
An Introduction to Knot Concordance [Livingston-Naik]
The Levine-Tristram Signature: A Survey [A. Conway]
Jumps of the Eta invariant [Farber-Levine]
Abelian Invariants of Satellite Knots [Livingston-Melvin]
Signatures of Iterated Torus Knots [Litherland]
Satellites of Infinite Rank in the Smooth Concordance Group [Hedden -- Pinzon-Caicedo]
4-Manifolds and Kirby Calculus [Gompf-Stipsicz]
Surgery on Contact 3-Manifolds and Stein Surfaces [Ozbagi-Stipsicz]
Exotic Structures and the Adjunction Inequality [Akbulut-Matveyev]
Khovanov Homology and the Slice Genus [J. Rasmussen]
The Ozsvath-Szabo and Rasmussen concordance invariants are not equal [Hedden-Ording]
On the Upsilon invariant of fibered knots and right-veering open books [He-Hubbard-Truong]
Upsilon invariants from cyclic branched covers [Alfieri-Celoria-Stipsicz]
An infinite-rank summand of knots with trivial Alexander polynomial [Kim-Park]
Notes on the knot concordance invariant Upsilon [Livingston]
Knot traces and concordance [Miller-Piccirillo]
Lens spaces, rational balls and the ribbon conjecture [Lisca]
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