Trivalent vertices and bordered knot Floer homology in the standard basis

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Trivalent vertices can be analyzed within the framework of bordered knot Floer homology using the standard basis. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Manion

doi:10.2140/gt.2026.30.529

March 16, 2026Geometry & TopologyOpen Access

Trivalent vertices and bordered knot Floer homology in the standard basis

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Key Points

To investigate the behavior and algebraic formulation of trivalent vertices in bordered knot Floer homology using the standard basis.
Applied bordered Heegaard Floer homology techniques to study 3-manifold boundaries and knotted graphs.
Computed algebraic invariants associated with trivalent graph vertices within the standard basis.
Characterized the algebraic modules associated with trivalent intersections in bordered knot Floer homology.
Demonstrated how the standard basis represents topological transitions at multi-edge vertices.

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Implication

Theoretical analysis examines trivalent vertices in bordered knot Floer homology, suggesting unified algebraic invariants for knotted spatial graphs.

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Trivalent vertices and bordered knot Floer homology

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Andrew Manion (2026) studied this question.

synapsesocial.com/papers/6a66118523789fa3c525dce3 https://doi.org/10.2140/gt.2026.30.529

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Trivalent vertices and bordered knot Floer homology in the standard basis

Key Points

No abstract yet

Implication

Abstract

Discussion

Cite This Study

Trivalent vertices and bordered knot Floer homology in the standard basis

Key Points

No abstract yet

Implication

Abstract

Discussion

Cite This Study

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