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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.

168,657 papers · 148 categories

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0111 · Sep 201119922001200920172026
2 results for “pro-nilpotent”
The pro-nilpotent Lawrence-Krammer-Bigelow representationmath.GT

New representation for braid groups and surface braid groups, extending Lawrence-Krammer-Bigelow.

problem Constructing representations for braid groups and surface braid groups.
method Pro-nilpotent tower of representations, starting with the original LKB representation.
result 3-variable enrichment of the Lawrence-Krammer-Bigelow representation.
braid groupssurface braid groupspro-nilpotentLawrence-Krammer-Bigelow
2022-11-03abs ↗pdf ↗
Groupoid-theoretical methods in the mapping class groups of surfacesmath.GT

We provide some language for algebraic study of the mapping class groups for surfaces with non-connected boundary. As applications, we generalize our previous results on Dehn twists to any compact connected oriented surfaces with non-empty boundary. Moreover we embed the `smallest' Torelli group in the sense of Putman …

2011-09-29abs ↗pdf ↗