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Mathematics Preprint PDF DOI

The hat and plus version of the Heegaard Floer contact invariant are not equivalent

Alberto Cavallo, Irena Matkovic · 2026

We advance Matkovi\v{c} ideas, originally applied to complete the classification of tight structures on small Seifert fibred $L$-spaces, to show the existence of contact structures on Brieskorn sphere…

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Physics Preprint PDF DOI

Deeply virtual pion production through two-loop order

Wen Chen, Feng Feng, Yu Jia, Qing-Tao Song, Guang Tang, Zhe-Yu Wang · 2026

Deeply virtual meson production (DVMP) is among the most prominent channels to extract the nucleon's generalized parton distributions (GPDs) at $ep$ scattering facilities such as {\tt JLab} and the up…

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Mathematics Preprint PDF DOI

The proportion of permutations fixing a $k$-set

Ben Green, Mehtaab Sawhney · 2026

Denote by $p(k)$ the limit, as $n \rightarrow \infty$, of the probability that a random permutation on a set of size $n$ has an invariant set of size $k$. We give an asymptotic formula for $p(k)$, sho…

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Computer Science Preprint PDF DOI

Beyond Code, We Are People: A Systematic Mapping of 25 Years of Literature on Soft Skills in Agile Development Teams

Israely Lima, Lucas Moura Lourenco, Marcio Ribeiro, Ivan Machado, Carla Ilane Bezerra · 2026

Software development is a sociotechnical and human-centered endeavor in which human factors directly influence quality, productivity, and innovation capacity. In this context, career development in co…

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AI & Data Science Preprint PDF DOI

Mapping the Methodological Space of Classroom Interaction Research: Scale, Duration, and Modality in an Age of AI

Dorottya Demszky, Edith Bouton, Alison Twiner, Sara Hennessy, Richard Correnti · 2026

Research on classroom interaction has long been divided between large-scale observation and in-depth ethnographic work. We propose a framework mapping this methodological space along three dimensions-…

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Mathematics Preprint PDF DOI

On centered local $\pi$-bases

Nathan Carlson · 2026

In 1967 Hajnal and Juh{\'a}sz showed that the cardinality of a first-countable Hausdorff space with the countable chain condition has cardinality at most $\mathfrak{c}$, the cardinality of the real li…

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Physics Preprint PDF DOI

Phenomenology of $f_2(1270)$ photoproduction at energies measured with the CLAS facility

K. E. S. Mendes, D. T da Silva, M. L. L. da Silva · 2026

We investigate the photoproduction of the tensor meson $f_2(1270)$ on the proton within a Regge-based framework, focusing on the reaction $\gamma p \to p f_2(1270)$ in the few-GeV energy region. The p…

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AI & Data Science Preprint PDF DOI

Exponential families from a single KL identity

Marc Dymetman · 2026

Exponential families encompass the distributions central to modern machine learning -- softmax, Gaussians, and Boltzmann distributions -- and underlie the theory of variational inference, entropy-regu…

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AI & Data Science Preprint PDF DOI

Are DeepFakes Realistic Enough? Exploring Semantic Mismatch as a Novel Challenge

Sharayu Nilesh Deshmukh, Kailash A. Hambarde, Joana C. Costa, Hugo Proenca, Tiago Roxo · 2026

Current DeepFake detection scenarios are mostly binary, yet data manipulation can vary across audio, video, or both, whose variability is not captured in binary settings. Four-class audio-visual formu…

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Mathematics Preprint PDF DOI

Frobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive Characteristic

Chien-Hua Chen · 2026

In this paper, we prove that if the Frobenius traces agree at all but finitely many places, then two $l$-adic Galois representations, associated to rank-$2$ non-CM Drinfeld modules of generic characte…

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Computer Science Preprint PDF DOI

Enhancing multimodal affect recognition in healthcare: the robustness of appraisal dimensions over labels within age groups and in cross-age generalisation

Hippolyte Fournier, Sina Alisamir, Safaa Azzakhnini, Isabella Zsoldos, Eleonore Tran, Gerard Bailly, Frederic Elisei, Beatrice Bouchot, Brice Varini, Patrick Constant, Joan Fruitet, Franck Tarpin-Bernard, Solange Rossato, Francois Portet, Olivier Koenig, Hanna Chainay, Fabien Ringeval · 2026

The integration of artificial intelligence (AI) into healthcare has advanced significantly, yet affect recognition remains a major challenge, particularly in AI-assisted interventions such as Computer…

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Mathematics Preprint PDF DOI

Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications

Joydwip Singh · 2026

In this paper, we study the $L^p$-boundedness of Stein's square function $\mathfrak{S}^{\alpha}(\mathcal{L})$ associated with the sub-Laplacian $\mathcal{L}$ on M\'etivier group $G$. A key aspect of o…

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Sociology & Anthropology Preprint PDF DOI

Scale-freeness under node removal: a finite-size scaling perspective

Yeonsu Jeong, Deok-Sun Lee, Mi Jin Lee, Seung-Woo Son · 2026

In heterogeneous network systems such as ecological and social networks, structural stability depends on how connectivity changes under node removal, as different removal sequences can trigger distinc…

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Mathematics Preprint PDF DOI

Geometric densities and compression radii of knot types

Makoto Ozawa · 2026

We study scale-invariant geometric quantities associated with embedded closed curves in Euclidean three-space, with an emphasis on their behavior under optimization within a fixed knot type. Given a E…

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Mathematics Preprint PDF DOI

Valuative independence for Calabi--Yau varieties

Harold Blum, Yuchen Liu · 2026

We construct valuatively independent bases for the space of sections of an ample line bundle on a log Calabi--Yau pair over a discretely valued field and the space of regular functions on an affine CY…

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Computer Science Preprint PDF DOI

SimEval-IR: A Unified Toolkit and Benchmark Suite for Evaluating User Simulators and Search Sessions

Saber Zerhoudi · 2026

User simulators are increasingly central to interactive information retrieval, yet the community lacks standardized evaluation tools. Simulators serve two objectives, behavioral realism (matching real…

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Mathematics Preprint PDF DOI

On the homotopy types of $4$-dimensional toric orbifolds

Tyrone Cutler, Tseleung So · 2026

The cohomological rigidity problem for toric orbifolds asks when an integral cohomology isomorphism implies a homotopy equivalence. In this paper we reformulate the cohomological rigidity problem in t…

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Mathematics Preprint PDF DOI

Irreducible Ferrers diagrams in the Etzion-Silberstein conjecture

Hugo Beeloo-Sauerbier Couvee, Alessandro Neri · 2026

The Etzion-Silberstein conjecture asserts that, for any finite field $\mathbb F$, Ferrers diagram $\mathcal D$, and integer $d$, there exists a linear matrix code supported on $\mathcal D$ with minimu…

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Mathematics Preprint PDF DOI

Uncentred maximal operators with respect to half balls on Damek--Ricci spaces

Nikolaos Chalmoukis, Stefano Meda, Effie Papageorgiou, Federico Santagati · 2026

In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly, such modified maxi…

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Economics & Finance Preprint PDF DOI

Distributionally Robust Insurance under Bregman-Wasserstein Divergence

Wenjun Jiang, Qingqing Zhang, Yiying Zhang · 2026

This paper investigates two optimal insurance contracting problems under distributional uncertainty from the perspective of a potential policyholder, utilizing a Bregman-Wasserstein (BW) ball to chara…

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