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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.

168,695 papers · 148 categories

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4 results for “super-Grassmannian”

Automorphisms and real structures for a

Π

-symmetric super-Grassmannianmath.DG

Study automorphisms and real structures on a special super-Grassmannian.

problem Investigate automorphisms and real structures on a

Π

-symmetric super-Grassmannian.

method Investigate automorphisms and real structures on a

Π

-symmetric super-Grassmannian

Π\!\operatorname{Gr}_{n,k}

using Galois cohomology.

result Classify real structures on

Π\!\operatorname{Gr}_{n,k}

and compute corresponding supermanifolds of real points.

automorphisms real structures super-Grassmannian Galois cohomology Π-symmetric

2022-05-09abs ↗pdf ↗

On super cluster algebras based on super Plücker and super Ptolemy relationsmath-ph

Study super cluster algebras from super Plücker and Ptolemy relations.

problem Developing super cluster algebra structure in super Grassmannians.

method Analyzing super Plücker and Ptolemy relations, developing super cluster structure.

result New simple form of super Plücker relations for $\Gr_{r|1}(n|1)$.

super cluster algebras super Plücker relations super Ptolemy relations super Grassmannians Berezinians

2022-06-24abs ↗pdf ↗

Non-split supermanifolds associated with the cotangent bundlemath.DG

Study non-split supermanifolds from complex manifolds.

problem Classify non-split supermanifolds retracting to complex manifolds.

method Construct supermanifolds from

d

-closed

(1,1)

-forms on complex manifolds.

result Complete classification of non-split supermanifolds for certain flag manifolds.

supermanifolds cotangent bundle Dolbeault class cohomology Hermitian symmetric spaces

2022-05-24abs ↗pdf ↗

Superconformal geometries and local twistorshep-th

Superconformal geometries discussed in various spacetime dimensions using local supertwistor bundles.

problem Discussing superconformal geometries in different spacetime dimensions.

method Using local supertwistor bundles over standard superspace, showing gauges where scale parts of the connection and curvature vanish, and imposing constraints to reduce field numbers.

result Reduced field numbers to those of minimal off-shell conformal supergravity multiplets by imposing constraints.

superconformal geometries supertwistor bundles spacetime dimensions superspace formalism conformal connections

2020-12-06abs ↗pdf ↗