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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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3 results for “Tor-groups”

The homology of the Brauer algebrasmath.AT

The paper connects Brauer algebra homology to symmetric group homology.

problem Understanding the homology of Brauer algebras.

method Interpreting Brauer algebras as Tor-groups and comparing to symmetric group homology.

result Isomorphism of homology groups under specific conditions.

Brauer algebras symmetric group homology Tor-groups invertible parameter

2020-09-24abs ↗pdf ↗

The homology of the partition algebrasmath.AT

Homology of partition algebras matches symmetric group homology under certain conditions.

problem Understanding homology of partition algebras and comparing it to symmetric groups.

method Inductive resolution and high acyclicity arguments, parallel to earlier work on Brauer algebras.

result Homology of partition algebras is isomorphic to symmetric group homology under specific conditions.

partition algebras homology symmetric groups Tor-groups homological stability

2023-03-14abs ↗pdf ↗

An untwisted cube of resolutions for knot Floer homologymath.GT

Ozsvath and Szabo gave a combinatorial description of knot Floer homology based on a cube of resolutions, which uses maps with twisted coefficients. We study the t=1 specialization of their construction. The associated spectral sequence converges to knot Floer homology, and we conjecture that its E_1 page is isomorphic…

2011-07-30abs ↗pdf ↗