Author:
Dimitroglou Rizell Georgios,Sullivan Michael G.
Abstract
AbstractWe apply the barcodes of persistent homology theory to the c Chekanov–Eliashberg algebra of a Legendrian submanifold to deduce displacement energy bounds for arbitrary Legendrians. We do not require the full Chekanov–Eliashberg algebra to admit an augmentation as we linearize the algebra only below a certain action level. As an application we show that it is not possible to $$C^0$$
C
0
-approximate a stabilized Legendrian by a Legendrian that admits an augmentation.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
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