Concordance invariant $Υ$ for balanced spatial graphs using grid homology

Kubota, Hirokazu

doi:10.48550/arxiv.2206.15048

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2023

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“…Balanced spatial graphs researched by Vance [11] and Kubota [5] is a special case of MOY graphs. They defined the tau invariant and the Upsilon invariant for balanced spatial graphs respectively.…”

Section: Further Problemsmentioning

confidence: 99%

“…Mellor, Kong, Lewald, and Pigrish [7] define a balanced spatial graph as a pair of a spatial graph and a balanced coloring, which is an MOY graph without the transverse condition. It is confusing that Vance [11] and the author paper [5] defined a balanced spatial graph, which is a transverse spatial graph satisfying that the number of incoming edges equals the number of outgoing edges at each vertex. Note that a balanced spatial graph of Vance and the author is a special case of an MOY graph.…”

Section: Introductionmentioning

confidence: 99%

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