2023/03/06 by A. Manion, Manion, Andrew
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #18N25 (secondary) #57K16 (primary) #57K18 #Botulinum Toxin and Related Neurological Disorders #Cellular transport and secretion #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2303.02889
openalex publication_date 2023/03/06 · openalex created_date 2023/03/09 · openalex updated_date 2026/07/28
A previous result about the decategorified bordered (sutured) Heegaard Floer invariants of surfaces glued together along intervals, generalizing the decategorified content of Rouquier and the author's higher-tensor-product-based gluing theorem in cornered Heegaard Floer homology, was proved only over \mathbbF2 and without gradings. In this paper we add signs and prove a graded version of the interval gluing theorem over ℤ, enabling a more detailed comparison of these aspects of decategorified Heegaard Floer theory with modern work on non-semisimple 3d TQFTs in mathematics and physics.