Summer School 2015: Moduli Problems in Symplectic Geometry

Collection Summer School 2015: Moduli Problems in Symplectic Geometry

Organizer(s) J. Nelson (Columbia University and the Institute for Advanced Study), D. Cristofaro-Gardiner (Harvard University), J. Fish (Institute for Advanced Study and UMass Boston)

Date(s) 06/07/2015 - 17/07/2015

linked URL https://indico.math.cnrs.fr/event/585/

00:00:00 / 00:00:00

17 36

2/3 The rise of sc-retracts

Also appears in collection : Joel Fish - sc-calculus

In this talk, we discuss the second of two fundamental analysis concepts polyfold theory is built on: sc-retracts. In particular, we discuss how they arise naturally as a means of using pre-gluing maps to parametrize a neighborhood of nodal and non-nodal (or broken and unbroken) maps near a nodal (or broken) map. Despite locally varying dimensions, such retracts support a version of the sc-calculus on which the chain rule holds, and we define M-polyfolds (manifold-like polyfolds) to be those topological spaces locally modeled on such retracts. [Related literature: Sections 2.3 and 5.1 of Polyfolds: A First and Second Look. http://arxiv.org/pdf/1210.6670.pdf

Information about the video

Date of recording 07/07/2015
Date of publication 12/07/2015
Institution IHES
Licence CC BY-NC-ND
Format MP4

Domain(s)

MSC codes

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