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Coherent Orientations of DGA Maps Associated to Exact Lagrangian Cobordisms

Western Hemisphere Virtual Symplectic Seminar via YouTube

Overview

Explore a 57-minute lecture from the Western Hemisphere Virtual Symplectic Seminar featuring Chindu Mohanakumar from Duke University. Delve into the topic of coherent orientations of DGA maps associated with exact Lagrangian cobordisms. Examine the Chekanov-Eliashberg DGAs induced by exact Lagrangian cobordisms and learn about an analytic strategy to lift the map to integer coefficients. Discover how this strategy applies to finding a combinatorial formula for a mini-dipped pinch move, determining integral DGA maps for decomposable, orientable Lagrangian cobordisms. Gain insights into potential future work, including applications to Heegaard Floer Homology and nonorientable cobordisms. Engage with a question-and-answer session addressing the use of 't' in ENS for signs or group-ring coefficients.

Syllabus

Mike: Did you say t was needed by ENS for signs, or just for the group-ring coefficients?

Taught by

Western Hemisphere Virtual Symplectic Seminar

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