Tootfinder

Fossil Signatures of Main-sequence Convective Core Overshoot Estimated through Asteroseismic Analyses
Christopher J. Lindsay, J. M. Joel Ong, Sarbani Basu
https://arxiv.org/abs/2402.12461

Fossil Signatures of Main-sequence Convective Core Overshoot Estimated through Asteroseismic Analyses
Some physical processes that occur during a star's main-sequence evolution also affect its post main-sequence evolution. It is well known that stars with masses above approximately 1.1 $M_{\odot}$ have well-mixed convective cores on the main sequence, however, the structure of the star in the neighborhood of the convective core regions is currently underconstrained. We use asteroseismology to study the properties of the stellar core, in particular, convective boundary mixing through convective …

This https://arxiv.org/abs/2310.12486 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Trapped acoustic waves and raindrops: high-order accurate integral equation method for localized excitation of a periodic staircase
We present a high-order boundary integral equation (BIE) method for the frequency-domain acoustic scattering of a point source by a singly-periodic, infinite, corrugated boundary. We apply it to the accurate numerical study of acoustic radiation in the neighborhood of a sound-hard two-dimensional staircase modeled after the El Castillo pyramid. Such staircases support trapped waves which travel along the surface and decay exponentially away from it. We use the array scanning method (Floquet--Bl…

Fossil Signatures of Main-sequence Convective Core Overshoot Estimated through Asteroseismic Analyses
Christopher J. Lindsay, J. M. Joel Ong, Sarbani Basu
https://arxiv.org/abs/2402.12461

Fossil Signatures of Main-sequence Convective Core Overshoot Estimated through Asteroseismic Analyses
Some physical processes that occur during a star's main-sequence evolution also affect its post main-sequence evolution. It is well known that stars with masses above approximately 1.1 $M_{\odot}$ have well-mixed convective cores on the main sequence, however, the structure of the star in the neighborhood of the convective core regions is currently underconstrained. We use asteroseismology to study the properties of the stellar core, in particular, convective boundary mixing through convective …

The $\bar\partial$-problem on $Z(q)$-domains
Debraj Chakrabarti, Phillip S. Harrington, Andrew Raich
https://arxiv.org/abs/2403.04756 https://

The $\bar\partial$-problem on $Z(q)$-domains
Given a complex manifold containing a relatively compact $Z(q)$ domain, we give sufficient geometric conditions on the domain so that its $L^2$-cohomology in degree $(p,q)$ (known to be finite dimensional) vanishes. The condition consists of the existence of a smooth weight function in a neighborhood of the closure of the domain, where the complex Hessian of the weight has a prescribed number of eigenvalues of a particular sign, along with good interaction at the boundary of the Levi form with …

This https://arxiv.org/abs/2401.03498 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Spineless 5-manifolds and the deformation conjecture
We construct a compact PL 5-manifold $M$ (with boundary) which is homotopy equivalent to the wedge of eleven $2$-spheres, $\vee^{}_{1 1}S^2$, which is "spineless", meaning $M$ is not the regular neighborhood of any 2-complex PL embedded in $M$. We formulate a related question about the existence of exotic smooth structures on 4-manifolds which is of interest in relation to the deformation conjecture for 2-complexes, also known as the generalized Andrews-Curtis conjecture.