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2018 Refinements of the holonomic approximation lemma
Daniel Álvarez-Gavela
Algebr. Geom. Topol. 18(4): 2265-2303 (2018). DOI: 10.2140/agt.2018.18.2265

Abstract

The holonomic approximation lemma of Eliashberg and Mishachev is a powerful tool in the philosophy of the h –principle. By carefully keeping track of the quantitative geometry behind the holonomic approximation process, we establish several refinements of this lemma. Gromov’s idea from convex integration of working “one pure partial derivative at a time” is central to the discussion. We give applications of our results to flexible symplectic and contact topology.

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Daniel Álvarez-Gavela. "Refinements of the holonomic approximation lemma." Algebr. Geom. Topol. 18 (4) 2265 - 2303, 2018. https://doi.org/10.2140/agt.2018.18.2265

Information

Received: 6 April 2017; Revised: 1 January 2018; Accepted: 16 January 2018; Published: 2018
First available in Project Euclid: 3 May 2018

zbMATH: 06867658
MathSciNet: MR3797067
Digital Object Identifier: 10.2140/agt.2018.18.2265

Subjects:
Primary: 53Dxx, 57R99
Secondary: 57R17, 57R45

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 4 • 2018
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