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Spectral asymmetry, Riemannian geometry · 1976

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math.DG 1

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2026 1

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UNVERDICTED 1

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Capturing the Atiyah-Patodi-Singer index from the lattice

math.DG · 2026-02-13 · unverdicted · novelty 7.0

A lattice formulation of the Atiyah-Patodi-Singer index is built using spectral flow of domain-wall Dirac operators generalized beyond product boundaries and proven to recover the continuum index for small enough lattice spacing.

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  • Capturing the Atiyah-Patodi-Singer index from the lattice math.DG · 2026-02-13 · unverdicted · none · ref 10

    A lattice formulation of the Atiyah-Patodi-Singer index is built using spectral flow of domain-wall Dirac operators generalized beyond product boundaries and proven to recover the continuum index for small enough lattice spacing.