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The Maslov index: A functional analytical definition and the spectral flow formula,

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Second-Jet Equivariant $\eta$ Separations on Lens Spaces

math.DG · 2026-06-04 · unverdicted · novelty 5.0

For the families L(ℓ²,ℓ-1) and L(ℓ²,2ℓ-1) with ℓ odd ≥5, the residual-circle equivariant η germ has vanishing first derivative but nonzero second derivative; the normalized value is -6080 for L(25,4) versus L(25,9).

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  • Hyperelliptic Atkin-Lehner quotients of Shimura curves math.NT · 2026-06-23 · unverdicted · none · ref 16

    Extends classifications of hyperelliptic Atkin-Lehner quotients from modular curves (D=1) and trivial quotients to general Shimura curves with coprime level.

  • Second-Jet Equivariant $\eta$ Separations on Lens Spaces math.DG · 2026-06-04 · unverdicted · none · ref 24

    For the families L(ℓ²,ℓ-1) and L(ℓ²,2ℓ-1) with ℓ odd ≥5, the residual-circle equivariant η germ has vanishing first derivative but nonzero second derivative; the normalized value is -6080 for L(25,4) versus L(25,9).