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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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2 results for “TMF-modules”

A new approach to (3+1)-dimensional TQFTs via topological modular formsmath.AT

New mathematical proposal for TQFTs using TMF-modules.

problem Constructing new types of TQFTs at the intersection of topology, algebra, physics, and homotopy theory.

method Defines TMF-modules associated with symmetric bilinear forms and assigns them to closed 3-manifolds and maps of TMF-modules to 4-dimensional cobordisms.

result Invariants of 4-manifolds arising from 6-dimensional superconformal field theories, conjecturally generalizing the theta function of a lattice.

TQFTs TMF-modules symmetric bilinear forms 4-manifolds superconformal field theories

2025-09-15abs ↗pdf ↗

Canonical torsion linking pairings and explicit TMF state spaces of closed 3-manifoldsmath.AT

Study TMF-valued TQFT for closed 3-manifolds using torsion linking pairings.

problem Explicit description of TMF-module state space for closed 3-manifolds.

method Construct canonical invariants and tokenization from torsion linking pairings.

result Explicit model for TMF-module state space in terms of rank-one TMF-module.

TMF-valued TQFT closed 3-manifolds torsion linking pairings state spaces rank-one modules

2026-02-13abs ↗pdf ↗