On the slice-torus invariant q_M from ℤ₂-equivariant Seiberg--Witten Floer cohomology

2025/01/14 by Nobuo Iida, Iida, Nobuo, Taketo Sano +5
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2501.07788

openalex publication_date 2025/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Iida--Taniguchi's ℤ-valued slice-torus invariant q_M cannot be realized as a linear combination of Rasmussen's s-invariant, Ozsváth--Szabó's τ-invariant, all of the \mathfraksl_N-concordance invariants (N ≥ 2), Baldwin--Sivek's instanton τ-invariant, Daemi--Imori--Sato--Scaduto--Taniguchi's instanton s-invariant and Sano--Sato's Rasmussen type invariants ss_c.

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