Integration Theory for Zero Sets of Polyfold Fredholm Sections

2007/11/06 by Helmut Hofer, Hofer, Helmut, Kris Wysocki +3 · 2 citations
Mathematics · #46T99 #53C99 #58B99 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.FA #math.SG #msc:46T99 #msc:53C99 #msc:58B99

paper · pdf · doi:10.48550/arxiv.0711.0781

54 pages and two figures

arxiv created 2007/11/06 · openalex publication_date 2007/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we develop an integration theory for zero sets of polyfold Fredholm sections. The results are needed in the application of the polyfold theory. We use it for example in the construction of symplectic field theory.

Citations

• Orbifolds as Groupoids: an Introduction

Cited by

• Gromov Witten invariants of exploded manifolds
• A General Fredholm Theory III: Fredholm Functors and Polyfolds

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