The Arf-Brown-Kervaire invariant on a lattice
hep-lat, cond-mat.mes-hall, hep-th, math-ph, math.MP
Submitted: 2025-12-12
Updated: 2026-10-13
Terminology
Sources
- Fermion Path Integrals And Topological Phases
- Exactly massless quarks on the lattice
- The index theorem in QCD with a finite cut-off
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- Generalized Ginsparg-Wilson relations
- The index of lattice Dirac operators and $K$-theory
- $K$-theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators
- Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac operator
- The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
- Mod-two APS index and domain-wall fermion
- Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory
- Pin TQFT and Grassmann integral
- Non-local Order Parameters and Quantum Entanglement for Fermionic Topological Field Theories
- Many-body topological invariants for fermionic symmetry-protected topological phases
- Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
- Fermionic Symmetry Protected Topological Phases and Cobordisms
- Topological Superconductors on Superstring Worldsheets
- Lattice QCD on Non-Orientable Manifolds
- The Arf-Brown TQFT of Pin$^-$ Surfaces
- A Method for Simulating Chiral Fermions on the Lattice
Related papers
- Sampling SU(N) gauge theory on a 2D lattice from independent plaquettes via holonomies and corner reweighting
- MORE Thermal Gauge Theories at Finite theta and mu from Real-Time Quantum Simulation
- Sampling the Schwinger Model with Gauge-Equivariant Diffusion
- Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
- Confinement, String Breaking, and Hadronization in the Compact Abelian Higgs Model
- Continuum limit of a qubit-regularized SU(3) lattice gauge theory on a plaquette chain