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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.

169,181 papers · 148 categories

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5 results for “AHSS”
Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequencemath.AT

Constructs AHSS for twisted differential generalized cohomology theories.

problem Generalizing AHSS for twisted settings and differential cohomology.
method Builds on previous work, uses bundles of spectra with flat connections.
result Establishes twisted differential spectra as bundles of spectra with flat connections.
AHSStwisted cohomologydifferential spectraspectra bundlesflat connections
2017-11-17abs ↗pdf ↗
Spectral sequences in smooth generalized cohomologymath.AT

We consider spectral sequences in smooth generalized cohomology theories, including differential generalized cohomology theories. The main differential spectral sequences will be of the Atiyah-Hirzebruch (AHSS) type, where we provide a filtration by the Cech resolution of smooth manifolds. This allows for systematic st…

2016-05-11abs ↗pdf ↗
Twisted differential KO-theorymath.AT

Systematic approach to twisting differential KO-theory with applications in geometry, topology, and physics.

problem Constructing and understanding twisted differential KO-theory and its spectral sequence.
method Developed a systematic approach to twisting differential KO-theory, relating and contrasting degree two and degree one twists, and providing explicit identifications of differentials.
result Illustrated applications in geometry, topology, and physics, including integrality results and characterizations of twisted differential Spin structures.
twisted differential KO-theoryspectral sequencelocal systemsdifferential formsstring theory
2019-05-22abs ↗pdf ↗