Floer field theory for tangles

2015/03/26 by Katrin Wehrheim, Wehrheim, Katrin, Chris Woodward +1 · 1 citation
Mathematics · #53D40 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1503.07615

openalex publication_date 2015/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use quilted Floer theory to construct functor-valued invariants of tangles arising from moduli spaces of flat bundles on punctured surfaces. As an application, we show the non-triviality of certain elements in the symplectic mapping class groups of moduli spaces of flat bundles on punctured spheres.

Citations

• Orientations for pseudoholomorphic quilts
• A-infinity functors for Lagrangian correspondences

Cited by

• SO(3)-Floer homology of 3-manifolds with boundary 1

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