Miyazawa's |deg| for 2-knots equals the Lefschetz number on ordinary monopole Floer homology, hence equals 1 for any 2-knot with a punctured L-space Seifert solid.
Monopoles and Three-Manifolds
4 Pith papers cite this work, alongside 209 external citations. Polarity classification is still indexing.
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Pith papers citing it
209
external citations · OpenAlex
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2026 4verdicts
UNVERDICTED 4representative citing papers
Dehn twists along (-2)-spheres on K3-type 4-manifolds are not homotopy coherently Nielsen realizable, as shown via family Seiberg-Witten theory.
Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.
Existence of at least one J-holomorphic disc is shown for every sufficiently small height parameter from any rigid transversely cut-out Y-Morse tree via obstruction bundle gluing.
citing papers explorer
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Miyazawa's Invariant, Lefschetz Numbers, and Seifert Solids
Miyazawa's |deg| for 2-knots equals the Lefschetz number on ordinary monopole Floer homology, hence equals 1 for any 2-knot with a punctured L-space Seifert solid.
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Homotopy Coherent Nielsen Realization Problem for Dehn Twists on K3-Type 4-Manifolds
Dehn twists along (-2)-spheres on K3-type 4-manifolds are not homotopy coherently Nielsen realizable, as shown via family Seiberg-Witten theory.
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Multi-framed real monopole Floer theory
Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.
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From Morse Trees to $J$-Holomorphic Discs -- Rigid Y-Graphs
Existence of at least one J-holomorphic disc is shown for every sufficiently small height parameter from any rigid transversely cut-out Y-Morse tree via obstruction bundle gluing.