Zobrazeno 1 - 10
of 1 568
pro vyhledávání: '"MILLER, JEREMY"'
In any category with a reasonable notion of cover, each object has a group of scissors automorphisms. We prove that under mild conditions, the homology of this group is independent of the object, and can be expressed in terms of the scissors congruen
Externí odkaz:
http://arxiv.org/abs/2408.08081
Autor:
Armeanu, Daniel, Miller, Jeremy
Answering a question of Randal-Williams, we show the natural maps from split Steinberg modules of a Dedekind domain to the associated Steinberg modules are surjective.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2407.18208
Autor:
Jansen, Mikala Ørsnes, Miller, Jeremy
We show that for nice enough $\mathbb{N}$-graded $\mathbb{E}_2$-algebras, a diagonal vanishing line in $\mathbb{E}_1$-homology of gives rise to slope $1$ homological stability. This is an integral version of a result by Kupers-Miller-Patzt.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2407.01124
Autor:
Warburton, Niels, Wardell, Barry, Trestini, David, Henry, Quentin, Pound, Adam, Blanchet, Luc, Durkan, Leanne, Faye, Guillaume, Miller, Jeremy
The past three years have seen two significant advances in models of gravitational waveforms emitted by quasicircular compact binaries in two regimes: the weak-field, post-Newtonian regime, in which the gravitational wave energy flux has now been cal
Externí odkaz:
http://arxiv.org/abs/2407.00366
Let $R$ be a unital ring satisfying the invariant basis number property, that every stably free $R$-module is free, and that the complex of partial bases of every finite rank free module is Cohen--Macaulay. This class of rings includes every ring of
Externí odkaz:
http://arxiv.org/abs/2405.09998
We prove that the direct sum of all homology groups of the integral general linear groups with Steinberg module coefficients form a commutative Hopf algebra, in particular a free graded commutative algebra. We use this to construct new infinite famil
Externí odkaz:
http://arxiv.org/abs/2404.13776
We prove a homological stability theorem for families of discrete groups (e.g. mapping class groups, automorphism groups of free groups, braid groups) with coefficients in a sequence of irreducible algebraic representations of arithmetic groups. The
Externí odkaz:
http://arxiv.org/abs/2402.00354
Publikováno v:
Phys. Rev. D 109, 104010 (2024)
Second-order gravitational self-force theory has recently led to the breakthrough calculation of ``first post-adiabatic'' (1PA) compact-binary waveforms [Phys. Rev. Lett. 130, 241402 (2023)]. The computations underlying those waveforms depend on a me
Externí odkaz:
http://arxiv.org/abs/2401.00455
Autor:
Burke, Ollie, Piovano, Gabriel Andres, Warburton, Niels, Lynch, Philip, Speri, Lorenzo, Kavanagh, Chris, Wardell, Barry, Pound, Adam, Durkan, Leanne, Miller, Jeremy
We investigate the impact of post-adiabatic (1PA) terms on parameter estimation for extreme and intermediate mass-ratio inspirals using state-of-the-art waveform models. Our analysis is the first to employ Bayesian inference to assess systematic erro
Externí odkaz:
http://arxiv.org/abs/2310.08927