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.
Paper calculates L-invariant and L*-invariant for complex surface sums.
New invariant defined for Weinstein domains, related to Kirby-Thompson's invariant.
Upper bounds for surface-links in the Yoshikawa table are estimated.
In this paper, we introduce the relative -invariant of a smooth, orientable, compact 4-manifold with boundary. This invariant is defined by measuring the lengths of certain paths in the cut complex of a trisection surface for . This is motivated by the definition of the $\mathcal{L…
The paper describes metrics on left Leibniz algebras, linking them to quadratic Lie algebras.
We describe the BNS invariant of Kaehler groups. As an application we prove that if the fundamental group of a Kaehler manifold is solvable, it is virtually nilpotent.
In this paper we study the scalar geometries occurring in the dimensional reduction of minimal five-dimensional supergravity to three Euclidean dimensions, and find that these depend on whether one first reduces over space or over time. In both cases the scalar manifold of the reduced theory is described as an eight-di…
To a closed wide Lie subgroupoid of a Lie groupoid , i.e. a Lie groupoid pair, we associate an Atiyah class which we interpret as the obstruction to the existence of -invariant fibrewise affine connections on the homogeneous space . For Lie groupoid pairs with…
Proposes a new framework for invariant quadratic P&L predictions in option books.
In the paper "Einstein metrics on compact simple Lie groups attached to standard triples", the authors introduced the definition of standard triples and proved that every compact simple Lie group attached to a standard triple admits a left-invariant Einstein metric which is not naturally reductive except …