Tootfinder

The DBL Survey II: towards a mass-period distribution of double white dwarf binaries
James Munday, Ingrid Pelisoli, Pier-Emmanuel Tremblay, David Jones, Gijs Nelemans, Mukremin Kilic, Tim Cunningham, Silvia Toonen, Alejandro Santos-Garc\'ia, Harry Dawson, Viktoria Pinter, Benjamin Godson, Llanos Martinez, Jaya Chand, Ross Dobson, Kiran Jhass, Shravya Shenoy

The DBL Survey II: towards a mass-period distribution of double white dwarf binaries
Double white dwarf binaries are an important remnant of binary evolution as they are possible type Ia supernova progenitors and strong sources of gravitational waves in the low-frequency regime. The double-lined double white dwarf (DBL) survey searches for compact double white dwarfs where both stars are spectrally disentangleable. Candidates are identified by being overluminous compared to the cooling sequence of a typical mass, single white dwarf. In this second DBL survey instalment, we pres…

Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds
Jordi Daura Serrano
https://arxiv.org/abs/2506.11174 ht…

Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds
Let M be a closed connected oriented manifold admitting a non-zero degree map to a nilmanifold. In the first part of the paper we study effective finite group actions on M. In particular, we prove that Homeo(M) is Jordan, we bound the discrete degree of symmetry of M and we study the number and the size of stabilizers of an effective action of a finite group G on M. We also study the toral rank conjecture and Carlsson's conjecture for large primes for this class of manifolds. In the second part…

p-K\"ahler structures on compact complex manifolds
Ettore Lo Giudice
https://arxiv.org/abs/2506.13546 https://arxiv.org/pdf/2506…

p-Kähler structures on compact complex manifolds
Let $(M,J)$ be a complex manifold of complex dimension $n$. A $p$-Kähler structure on $(M,J)$ is a real, closed $(p,p)$-transverse form. In this paper, we address the conjecture of L. Alessandrini and G. Bassanelli on $(n-2)$-Kähler nilmanifolds equipped with nilpotent complex structures and holomorphically parallelizable nilmanifolds. We also derive necessary conditions for the existence of smooth curves of $p$-Kähler structures, starting from a fixed $p$-Kähler structure, along a differen…

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Iterated finite group actions on closed connected aspherical manifolds
Jordi Daura Serrano
https://arxiv.org/abs/2506.13184 https://a…

Iterated finite group actions on closed connected aspherical manifolds
In this paper we use free iterated actions and the iterated discrete degree of symmetry to obtain rigidity results on aspherical manifolds. We also introduce the concept of the length of an iterated action and we study it for nilmanifolds, solvmanifolds and locally symmetric spaces.

On Jiang's Bounded Index Property for products of nilmanifolds
Peng Wang, Qiang Zhang
https://arxiv.org/abs/2507.06132 https://ar…

On Jiang's Bounded Index Property for products of nilmanifolds
In 2023, Zhang and Zhao presented the first examples of aspherical manifolds lacking the Bounded Index Property (BIP) for fixed points. This answered a question posed by Jiang in 1998 in the negative. In this paper, we first extend the notion of BIP to that of iterations of selfmaps (BIP$_k$), and then demonstrate BIP$_k$ for certain products $M\times N$ of nilmanifolds. Finally, we give characterizations for the Lefschetz number, the Nielsen number, and the minimal number of fixed points of se…

Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness
Navdeep Singh Dhindsa, Nilmani Mathur, M. Padmanath
https://arxiv.org/abs/2507.10660

Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness
We present the ground-state energy spectra of dibaryons composed of single-flavor quarks, specifically systems with strangeness $\mathcal{S} = -6$ and charm $\mathcal{C} = 6$. Our lattice QCD study is based on $N_f=2+1+1$ MILC ensembles with highly improved staggered quark (HISQ) sea quarks, spanning four lattice spacings and two spatial volumes. We employ valence quark propagators realized using a relativistic overlap action, evaluate correlation matrices with carefully designed operator bases…

Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
Kenro Furutani, Irina Markina, Yurii Nikonorov
https://arxiv.org/abs/2507.00470

Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
We investigate the geodesic orbit property of pseudo-Riemannian nilmanifolds, specifically those known in the literature as pseudo $H$-type Lie groups -- i.e., 2-step nilpotent Lie groups of Heisenberg type equipped with a left invariant pseudo-Riemannian metric. The study of homogeneous geodesics on Riemannian $H$-type Lie groups was completed by C.~Riehm in 1984. In this work, we extend these results to the pseudo-Riemannian $H$-type Lie groups and provide a complete characterization of the g…

The Piltz divisor Problem in Number Fields Using The Resonance Method
Nilmoni Karak, Kamalakshya Mahatab
https://arxiv.org/abs/2506.22587 https://

The Piltz divisor Problem in Number Fields Using The Resonance Method
The Piltz divisor problem is a natural generalization of the classical Dirichlet divisor problem. In this paper, we study this problem over number fields and obtain improved $Ω-$bounds for its error terms. Our approach involves generalizing a Voronoi-type formula due to Soundararajan in the number field setting, and applying a recent result due to the second author.

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
Nilmoni Karak
https://arxiv.org/abs/2506.22590 https://…

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
Using a recent method developed by Mahatab, we obtain an improved $Ω$-bound for the error term arising in lattice counting problem of bodies of revolution in $\mathbb R^3$ around a coordinate axis and having smooth boundary with bounded nonzero curvature. This strengthens an earlier result by Kühleitner and Nowak.