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4, 043B04, available at1910.09675

Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki, Makito Mori, Katsumasa Nakayama, Tetsuya Onogi, Satoshi Yamaguchi,The Atiyah–Patodi–Singer index on a lattice, PTEP · 2020 · arXiv 1910.09675

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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 22

    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.