Results 11 to 20 of about 214 (64)

Motivic Pontryagin classes and hyperbolic orientations

Journal of Topology, Volume 16, Issue 4, Page 1423-1474, December 2023., 2023
Abstract We introduce the notion of hyperbolic orientation of a motivic ring spectrum, which generalises the various existing notions of orientation (by the groups GL$\operatorname{GL}$, SLc$\operatorname{SL}^c$, SL$\operatorname{SL}$, Sp$\operatorname{Sp}$).
Olivier Haution
wiley   +1 more source

On the Chow groups of quadratic Grassmannians

Documenta Mathematica, 2005
In this text we get a description of the Chow-ring (mod- ulo 2) of the Grassmanian of the middle-dimensional planes on arbi- trary projective quadric. This is only a first step in the computation of the, so-called, generic discrete invariant of quadrics.
A. Vishik
semanticscholar   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Projection‐based estimators for matrix/tensor‐valued data

Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 2152-2186, December 2025.
Abstract A general approach for extending estimators to matrix‐ and tensor‐valued data is proposed. The extension is based on using random projections to project out dimensions of a tensor and then computing a multivariate estimator for each projection. The mean of the obtained set of estimates is used as the final, joint estimate. In some basic cases,
Joni Virta, Stanislav Nagy, Klaus Nordhausen   +2 more
wiley   +1 more source

Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately 
Ulrich Derenthal, Florian Wilsch
wiley   +1 more source

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

The Chow Ring of the Stack of Plane Nodal Curves

International mathematics research notices
We compute the rational Chow ring of the moduli stacks of planar smooth and at worst nodal curves of fixed degree and express it in terms of tautological classes.
Alessio Cela, Ajith Urundolil Kumaran, Xiaohan Yan, Alexis Aumonier   +3 more
semanticscholar   +1 more source

AI‐Driven Defect Engineering for Advanced Thermoelectric Materials

Advanced Materials, Volume 37, Issue 35, September 4, 2025.
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu, Mouyang Cheng, Nguyen Tuan Hung, Eunbi Rha, Zhantao Chen, Ryotaro Okabe, Denisse Córdova Carrizales, Manasi Mandal, Yongqiang Cheng, Mingda Li   +9 more
wiley   +1 more source

Applications of Artificial Intelligence in Biotech Drug Discovery and Product Development

MedComm, Volume 6, Issue 8, August 2025.
Artificial intelligence is reshaping drug discovery by enhancing molecular design, target engagement, and therapeutic delivery with unprecedented precision and efficiency. This review summarizes recent advances in AI‐driven approaches across small molecule design, protein binder development, antibody engineering, and nanoparticle‐based delivery systems,
Yuan‐Tao Liu, Le‐Le Zhang, Zi‐Ying Jiang, Xian‐Shu Tian, Peng‐Lin Li, Pei‐Huang Wu, Wen‐Ting Du, Bo‐Yu Yuan, Chu Xie, Guo‐Long Bu, Lan‐Yi Zhong, Yan‐Lin Yang, Ting Li, Mu‐Sheng Zeng, Cong Sun   +14 more
wiley   +1 more source