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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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158317475633 · Jun 202019922001200920172026
← all fields·4 papers on “mapping class group” in Geometric Topology · 1 month
Braiding structures on categorical multi-Interval Jones-Wassermann subfactormath.QA

The paper constructs braiding structures for a specific subfactor.

problem The challenge is to understand the braiding structures of a Jones-Wassermann subfactor.
method The approach involves constructing braiding structures on the multi-interval Jones-Wassermann subfactor planar algebra.
result The braiding structures induce a projective unitary representation of the balanced superelliptic mapping class group.
braiding structuresJones-Wassermann subfactorplanar algebrafusion categorymapping class group
2026-07-09abs ↗pdf ↗
Abelianizations of finite-index subgroups of the handlebody groupmath.GT

The paper disproves the existence of certain subgroups with nontrivial rational abelianization.

problem The existence of finite-index subgroups with nontrivial rational abelianization in handlebody groups.
method Proved that meridian multitwists vanish in H1(Γ;Q)H_1(Γ; \mathbb{Q}) and showed that H1(Γ;Q)=0H_1(Γ; \mathbb{Q}) = 0 for specific subgroups.
result No finite-index subgroups of the handlebody group contain nontrivial rational abelianization.
handlebody groupmapping class grouprational abelianizationfinite-index subgroupsmeridian multitwists
2026-07-08abs ↗pdf ↗
Central extensions of mapping class groups of surfaces from stated skein algebrasmath.QA

Compute central extension of mapping class group from stated skein algebra

problem Compute central extension of mapping class group from stated skein algebra
method Compute central extension of mapping class group from stated skein algebra
result Compute central extension of mapping class group from stated skein algebra
central extensionmapping class groupskein algebrafinite-dimensional factorizable ribbon Hopf algebrasurface
2026-06-23abs ↗pdf ↗