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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 · Jun 201219922001200920172026
4 results for “F-infinity”
Asymptotic mapping class groups of Cantor manifolds and their finiteness propertiesmath.GT

Proves asymptotic mapping class groups of Cantor manifolds are of type F_infinity.

problem Finiteness properties of asymptotic mapping class groups.
method General theorem deducing asymptotic mapping class groups of Cantor manifolds are of type F_infinity under certain hypotheses.
result Asymptotic mapping class groups of Cantor manifolds are of type F_infinity.
mapping class groupsCantor manifoldsF_infinityfinite groupsasymptotic groups
2021-10-11abs ↗pdf ↗
Asymptotically rigid mapping class groups I: Finiteness properties of braided Thompson's and Houghton's groupsmath.GR

The study proves properties of specific groups acting on cube complexes.

problem Proving properties of specific groups acting on cube complexes.
method Elementary construction of a contractible cube complex.
result Proves T♯,T∗T^\sharp,T^\ast are of type F∞F_\infty and brHn\mathrm{br}H_n is of type Fn−1F_{n-1} but not of type FnF_n.
mapping class groupscube complexesbraid groupsF-infinityF-n
2020-10-14abs ↗pdf ↗
Finiteness properties of some groups of local similaritiesmath.GR

Hughes has defined a class of groups, which we call FSS (finite similarity structure) groups. Each FSS group acts on a compact ultrametric space by local similarities. The best-known example is Thompson's group V. Guided by previous work on Thompson's group V, we establish a number of new results about FSS groups. Our …

2012-06-13abs ↗pdf ↗
The BNSR-invariants of the Lodha-Moore groups, and an exotic simple group of type F∞\textrm{F}_\inftymath.GR

Complete description of BNSR invariants for Lodha-Moore groups, proving finiteness properties.

problem Computing Bieri-Neumann-Strebel-Renz invariants for Lodha-Moore groups.
method Variation of Bestvina-Brady discrete Morse theory applied to cluster complex.
result All higher invariants of Lodha-Moore groups coincide with the second invariant, proving finiteness properties.
Bieri-Neumann-Strebel-Renz invariantsLodha-Moore groupsfiniteness propertiescluster complexdiscrete Morse theory
2020-07-24abs ↗pdf ↗