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arXiv · 1605.06144

Invariants of Lagrangian cobordisms via spectral numbers

Mads R. Bisgaard
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Abstract

We extend parts of the Lagrangian spectral invariants package recently developed by Leclercq and Zapolsky to the theory of Lagrangian cobordism developed by Biran and Cornea. This yields a nondegenerate Lagrangian "spectral metric" which bounds the Lagrangian "cobordism metric" (recently introduced by Cornea and Shelukhin) from below. It also yields a new numerical Lagrangian cobordism invariant as well as new ways of computing certain asymptotic Lagrangian spectral invariants explicitly.

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Mads R. Bisgaard. 2017-08-31. Invariants of Lagrangian cobordisms via spectral numbers. https://doi.org/10.1142/s1793525319500092

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