Tootfinder

This https://arxiv.org/abs/2402.09832 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rank two Artin-Schelter regular algebras and non commuting derivations
If $Δ$ and $Γ$ are two derivations of a commutative algebra A such that $Δ$$Γ$-$Γ$$Δ$ = $Δ$ is locally nilpotent, one can endow A with a new product * whose filtered semiclassical limit is the Poisson structure $Δ$ $\land$ $Γ$. In this article we first study theses (Poisson) algebras from an algebraic point of view, and when A is a polynomial algebra, we investigate their homological properties. In particular, if the derivations $Δ$ and $Γ$ are linear, we prove that the algebras (A, …

The prominent and heterogeneous gender disparities in scientific novelty: evidence from biomedical doctoral theses
Meijun Liu, Zihan Xie, Alex Jie Yang, Chao Yu, Jian Xu, Ying Ding, Yi Bu
https://arxiv.org/abs/2404.04259

The prominent and heterogeneous gender disparities in scientific novelty: evidence from biomedical doctoral theses
Scientific novelty is the essential driving force for research breakthroughs and innovation. However, little is known about how early-career scientists pursue novel research paths, and the gender disparities in this process. To address this research gap, this study investigates a comprehensive dataset of 279,424 doctoral theses in biomedical sciences authored by US Ph.D. graduates. Spanning from 1980 to 2016, the data originates from the ProQuest Dissertations & Theses Database. This study aims…

This https://arxiv.org/abs/2304.10529 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The first step towards symplectic homotopy theory
We consider two categories related to symplectic manifolds: 1. Objects are symplectic manifolds and morphisms are symplectic embeddings. 2. Objects are symplectic manifolds endowed with compatible almost complex structure and morphisms are pseudoholomorphic maps. We define new homotopy theories for these categories. In particular, we give definitions of homotopy equivalent symplectic manifolds and define new cohomology theories. Theses cohomology theories are functorial, homotopy invarian…