Topology Reading Group Spring 2020

Time: 2PM to 3PM on Thursdays

Location: Currently this seminar is being conducted remotely, please email me at gage (dot) martin (at) bc (dot) edu if would like to participate in the seminar

Our goal for this informal seminar is to have a place to share what you're learning about with other topology graduate students. Interested in speaking? Email me!

For the Fall 2019 TRG page click here.

January 31st: Patrick Orson

Title: Uniqueness of 2-sphere embeddings (in the topological category)

References:

• Robert D. Edwards. The solution of the 4-dimensional annulus conjecture (after Frank Quinn). In Four-manifold theory (Durham, N.H.,1982), volume 35 of Contemp. Math., pages 211–264. Amer. Math. Soc., Providence, RI, 1984.
• Frank Quinn. Isotopy of 4-manifolds. J. Differential Geom., 24(3):343–372, 1986.
• S. Freidl, M. Nagel, P. Orson, and M. Powell. A survey of the foundations of four-manifold theory in the topological category. Preprint, available at arXiv:1910.07372, 2019.

February 6th: Gage Martin

Title: Khovanov homology and causality in spacetimes

References:

• Vladimir Chernov, Gage Martin, Ina Petkova. Khovanov homology and causality in spacetimes.
• Vladimir Chernov and Stefan Nemirovski. Legendrian links, causality, and the Low conjecture.

February 13th: Continuation of the Concordance Learning Seminar

February 20th: Braeden Reinoso

Title: Cobordism and Concordance in the Contact Setting

February 27th: Siddhi Krishna

Title: Taut Foliations and Dehn Surgery along Positive Braids

March 12th: Antony Fung

Title: Grid moves that reduce the Seifert genus of a grid diagram

March 19th: Fraser Binns

Title: Open Books and Knot Floer Homology

References:

• John Baldwin and David Shea Vela-Vick A note on the knot Floer homology of fibered knots

March 26th: Gage Martin

Title: Annular Rasmussen invariants and concordance

References:

• https://arxiv.org/abs/1612.05953
• https://arxiv.org/abs/1801.07158

April 2nd: Jacob Caudell

Title: Lens space realization problems

References:

• https://arxiv.org/pdf/1009.1130v2.pdf

April 16th: Carson Rogers

Title: A conjecture for cosmetic band surgeries

April 23rd: Siddhi Krishna

Title: Positive braids and signature bounds

References:

• https://arxiv.org/pdf/1508.00418.pdf
• https://arxiv.org/pdf/1511.06329.pdf

April 30th: