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Geometry & Topology Seminar

Title: Lagrangian Cobordisms and Enriched Knot Diagrams
Speaker: Ipsita Datta (IAS Princeton, USA)
Date: 23 March 2022
Time: 4:00 pm
Venue: Microsoft Teams (online)

We present new obstructions to the existence of Lagrangian cobordisms in $\mathbb{R}^4$. The obstructions arise from studying moduli spaces of holomorphic disks with corners and boundaries on immersed objects called Lagrangian tangles. The obstructions boil down to area relations and sign conditions on disks bound by knot diagrams of the boundaries of the Lagrangian. We present examples of pairs of knots that cannot be Lagrangian cobordant and knots that cannot bound Lagrangian disks.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024