Instanton Floer homology for sutured manifolds with tangles

• DOI: 10.48550/arxiv.1907.00547
• Publication Date: 2019-01-01
• Authors: Yi Xie; Boyu Zhang
• Keywords: Floer Homology; Instanton; Homology; Khovanov homology

We prove an excision theorem for the singular instanton Floer homology that allows surfaces to intersect locus. This is extension of non-singular by Kronheimer and Mrowka genus-zero Street. use define theory sutured manifolds with tangles. As applications, we annular Khovanov (1) detects unlink, (2) closure trivial braid, (3) distinguishes braid closures from other links; also Thurston norm meridional surfaces.