Results 21 to 30 of about 18,184 (106)
Formalized proof, computation, and the construction problem in algebraic geometry [PDF]
, 2004 An informal discussion of how the construction problem in algebraic geometry motivates the search for formal proof methods. Also includes a brief discussion of my own progress up to now, which concerns the formalization of category theory within a ZFC ...
Simpson, Carlos T.
core
On contact 3‐manifolds that admit a nonfree toric action
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley +1 more source
C.T.C. Wall's 1964 articles on 4‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract I survey C. T. C. Wall's influential papers, ‘Diffeomorphisms of 4‐manifolds’ and ‘On simply‐connected 4‐manifolds’, published in 1964 on pp. 131–149 of volume 39 of the Journal of the London Mathematical Society.
Mark Powell
wiley +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley +1 more source
Advances in Hygroscopic Polymer Gels toward Efficient Atmospheric Moisture Capture and Management
Advanced Science, Volume 12, Issue 48, December 29, 2025.This review systematically elaborates on the research progress of hygroscopic polymer gels (HPGs) in the field of atmospheric moisture management, summarizes their hygroscopic mechanisms, construction strategies, and typical multi‐field applications, highlights the urgency of developing moisture‐adaptive HPGs for low‐humidity arid regions, and ...
Ruofan Zhou +4 more
wiley +1 more source
On exotic affine 3-spheres [PDF]
, 2011 Every $\mathbb{A}^{1}-$bundle over the complex affine plane punctured at the origin, is trivial in the differentiable category but there are infinitely many distinct isomorphy classes of algebraic bundles.
Adrien Dubouloz, David, R. Finston
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Artificial intelligence‐enabled digital biomedical engineering
BMEMat, Volume 3, Issue 4, December 2025.This review presents a comprehensive overview, emphasizing the critical role of artificial intelligence (AI) in biomedical engineering. It further explores the implications of AI for future biomedical research and clinical practice, aiming to provide theoretical insights for academic investigation and technological innovation in the field.
Peiran Song +6 more
wiley +1 more source
A Comparison of Coupling Strategies for 1D–3D Simulations of Coronary Hemodynamics
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 12, December 2025.Various 1D–3D coupling strategies combining a one‐dimensional (1D) pulse wave propagation model with three‐dimensional (3D) computational fluid dynamics (CFD) were evaluated for numerous types of complex synthetic coronary lesion geometries. Steady‐state simulations driven by mean flow showed no discrepancy with transient simulations in predicting ...
P. L. J. Hilhorst +6 more
wiley +1 more source
Compactifications of strata of differentials
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source