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.

168,695 papers · 148 categories

Trend · papers per month

count % of corpus

3 results for “SO0(p”

Harmonic metrics of

\mathrm{SO}_{0}(n,n)

-Higgs bundles in the Hitchin section on non-compact hyperbolic surfacesmath.DG

Harmonic metrics are established for SO0(n,n)-Higgs bundles on non-compact hyperbolic surfaces.

problem Establishing harmonic metrics for SO0(n,n)-Higgs bundles.

method Using canonical line bundle and holomorphic differentials, the existence and uniqueness of harmonic metrics are proven.

result Existence and uniqueness of harmonic metrics compatible with SO0(n,n) structure on non-compact hyperbolic surfaces.

Higgs bundles SO0(n n)harmonic metrics non-compact hyperbolic surfaces

2024-08-17abs ↗pdf ↗

Connected components of the space of flags of

\mathrm{SO}_0(p,q)

transverse to a fixed pair and restrictions on Anosov subgroupsmath.DG

Study counts and parametrizes flag components in SO0(p,q) space.

problem Counting and characterizing flag components in SO0(p,q) space.

method Parametrization and computation of Plücker coordinates.

result Anosov subgroups are virtually isomorphic to surface or free groups.

SO0(p q)flag varieties Anosov subgroups Plücker coordinates

2024-11-13abs ↗pdf ↗

Non-maximal Anosov representations from surface groups to

\mathrm{SO}_0(2,3)

math.DG

New representation theory for surface groups to SO0(2,3).

problem Understanding representations of surface groups into special orthogonal groups.

method Non-maximal Anosov representations via Higgs bundles and non-Abelian Hodge correspondence.

result Generalization of Filip's result on weight 3 variation of Hodge structures.

surface groups special orthogonal Higgs bundles non-Abelian Hodge correspondence almost dominated representations

2024-06-12abs ↗pdf ↗