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L-space Links and Formality

Banach Center via YouTube

Overview

Explore a lecture on L-space links and formality presented by Ian Zemke from Princeton University at the Banach Center. Delve into Ozsvath and Szabo's well-known result describing the knot Floer complex of L-space knots using their Alexander polynomial. Examine the less understood realm of L-space links and learn about a conjectural description of the link Floer complex. Discover proofs of this conjecture for plumbed L-space links, including all algebraic links, and 2-component L-space links. Understand the collaborative nature of this research, involving M. Borodzik, B. Liu, D. Chen, and H. Zhou. Gain insights into the applications of 2-component L-space links in computing satellite operators within Heegaard Floer theory.

Syllabus

L-space links and formality

Taught by

Banach Center

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