On-device research index

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

Trend · papers per month

count % of corpus

← all fields·5 papers on “mapping class groups” in Geometric Topology · 1 month

Baumslag-Solitar subgroups of the mapping class groupmath.GT

Conditions for Baumslag-Solitar subgroups in mapping class groups.

problem Characterizing Baumslag-Solitar subgroups in mapping class groups.

method Analyzing necessary and sufficient conditions for subgroup embeddings.

result Conditions for embedding

\mathrm{BS}(p,q)

\mathrm{Mod}(S_g)

, including

|p|=|q|

and reducibility.

mapping class groups Baumslag-Solitar groups surface topology subgroup embeddings Nielsen realization

2026-07-16abs ↗pdf ↗

On the density and surjectivity of

\mathbf{SO(3)}

-Witten-Reshetikhin-Turaev quantum representationsmath.GT

New properties established for SO(3) quantum representations, showing density and surjectivity.

problem Properties of SO(3) quantum representations of mapping class groups.

method Analyzing roots of unity and maximal ideals of Z[ζ_p] to establish properties.

result SO(3) quantum representations have dense image and are surjective modulo unramified maximal ideals.

SO(3) quantum representations mapping class groups dense image surjectivity roots of unity

2026-07-10abs ↗pdf ↗

Coarse embeddings of products of trees as quasi-isometry invariantsmath.GT

Study on embedding tree products into groups, distinguishing them.

problem Quasi-isometric embedding of tree products into various groups.

method Using coarse embeddings of products of bushy trees into hierarchically hyperbolic spaces.

result Quasi-isometrically distinguish and rule out embeddings between groups.

coarse embeddings tree products quasi-isometry hierarchically hyperbolic spaces mapping class groups

2026-07-09abs ↗pdf ↗

Dynamics and geometry of character varieties for surface groupsmath.GT

Research classifies geometric structures on manifolds using surface group representations.

problem Classifying geometric structures on manifolds related to surface group actions on character varieties.

method Surveying results on surface groups, focusing on compact and non-compact target groups, discussing various representations and their dynamics.

result Dichotomy in dynamics of character varieties based on compactness of target groups.

character varieties surface groups mapping class groups geometric structures manifolds

2026-07-07abs ↗pdf ↗

Small Sets of Generators for Handlebody Groupsmath.GT

Handlebody groups reduced to 3 or 4 generators for g ≥ 5 and 3 or 4 for g ≥ 3.

problem Finding minimal generating sets for handlebody groups.

method Using relations in Wajnryb's presentation to reduce the number of generators.

result Handlebody groups

\mathcal{M}(V_g)

are generated by 3 or 4 elements for

g \geq 5

and 3 or 4 for

g \geq 3

handlebody groups mapping class groups generators Wajnryb's presentation minimal sets

2026-07-01abs ↗pdf ↗