Results 91 to 100 of about 55,778 (240)

Restriction maps in equivariant KK-theory [PDF]

Journal of K-Theory, 2011
AbstractWe extend McClure's results regarding restriction maps in equivariant K-theory to bivariant K-theory:Let G be a compact Lie group and A and B be G-C*-algebras. Suppose that KKHn(A, B) is a finitely generated R(G)-module for every H ≤ G closed and n ∈ ℤ. Then, if KKF*(A, B) = 0 for all F ≤ Gfinite cyclic, then KKG*(A, B) = 0.
openaire   +4 more sources

Highlights of Model Quality Assessment in CASP16

Proteins: Structure, Function, and Bioinformatics, Volume 94, Issue 1, Page 314-329, January 2026.
ABSTRACT Model quality assessment (MQA) remains a critical component of structural bioinformatics for both structure predictors and experimentalists seeking to use predictions for downstream applications. In CASP16, the Evaluation of Model Accuracy (EMA) category featured both global and local quality estimation for multimeric assemblies (QMODE1 and ...
Alisia Fadini, Recep Adiyaman, Shaima N. Alhaddad, Behnosh Behzadi, Jianlin Cheng, Xinyue Cui, Nicholas S. Edmunds, Lydia Freddolino, Ahmet G. Genc, Fang Liang, Dong Liu, Jian Liu, Quancheng Liu, Liam J. McGuffin, Pawan Neupane, Chunxiang Peng, David R. Shortle, Meng Sun, Haodong Wang, Qiqige Wuyun, Guijun Zhang, Xuanfeng Zhao, Wei Zheng, Randy J. Read   +23 more
wiley   +1 more source

Characterization of Equivariant Maps and Application to Entanglement Detection [PDF]

, 2020
Ivan Bardet, Benoı̂t Collins, Gunjan Sapra   +2 more
openalex   +1 more source

Modeling Protein–Protein and Protein–Ligand Interactions by the ClusPro Team in CASP16

Proteins: Structure, Function, and Bioinformatics, Volume 94, Issue 1, Page 183-191, January 2026.
ABSTRACT In the CASP16 experiment, our team employed hybrid computational strategies to predict both protein–protein and protein–ligand complex structures. For protein–protein docking, we combined physics‐based sampling—using ClusPro FFT docking and molecular dynamics—with AlphaFold (AF)‐based sampling, followed by AF‐based refinement.
Ryota Ashizawa, Sergei Kotelnikov, Omeir Khan, Stan Xiaogang Li, Ernest Glukhov, Xin Cao, Maria Lazou, Ayse Bekar‐Cesaretli, Derara Hailegeorgis, Veranika Averkava, Yimin Zhu, George Jones, Hao Yu, Dmytro Kalitin, Darya Stepanenko, Kushal Koirala, Taras Patsahan, Dmitri Beglov, Mark Lukin, Diane Joseph‐McCarthy, Carlos Simmerling, Alexander Tropsha, Evangelos Coutsias, Ken A. Dill, Dzmitry Padhorny, Sandor Vajda, Dima Kozakov   +26 more
wiley   +1 more source

The degree of equivariant maps

Topology and its Applications, 2005
The \(G\)-index of a \(G\)-space \(X\) with coefficients in \(K\), \(Ind^G(X,K)\), is the kernel of the cohomology map \(c^*_G: H^*_G(*;K) \to H^*_G(X;K)\), where \(c: X \to *\) is the constant map into the one-point space \(*\). If \(G\) acts freely on \(X\) then \(H^*_G(*;K) \cong H^*(BG;K)\), where \(BG\) is the classifying space for \(G\); if ...
openaire   +2 more sources

Enhancing geometric representations for molecules with equivariant vector-scalar interactive message passing

Nature Communications
Geometric deep learning has been revolutionizing the molecular modeling field. Despite the state-of-the-art neural network models are approaching ab initio accuracy for molecular property prediction, their applications, such as drug discovery and ...
Yusong Wang, Tong Wang, Shaoning Li, Xinheng He, Mingyu Li, Zun Wang, Nanning Zheng, Bin Shao, Tie-Yan Liu   +8 more
doaj   +1 more source

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

Advanced Materials, Volume 37, Issue 52, December 29, 2025.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman, Ruben Goeminne, Kuber Singh Rawat, Veronique Van Speybroeck   +3 more
wiley   +1 more source

Impact of System‐Model Mismatch in Fourier Ptychographic Microscopy

Advanced Photonics Research, Volume 6, Issue 12, December 2025.
This study investigates the robustness of Fourier ptychography microscope (FPM) reconstruction algorithms across various scenarios, each representing challenges encountered in practical FPM experiments, and deduces the extent to which FPM can provide diffraction‐limited resolution under the influence of various sources of error.
Tuo Yin, Gookho Song, Doeon Lee, Jaeyeon Oh, Mooseok Jang   +4 more
wiley   +1 more source

Bi-equivariant extensions of maps

Topology and its Applications
The problem of bi-equivariant extension of continuous maps of binary $G$-spaces is considered. The concept of a structural map of distributive binary $G$-spaces is introduced, and a theorem on the bi-equivariant extension of structural maps is proven.
openaire   +2 more sources

Nonexistence of equivariant degree one maps [PDF]

Proceedings of the American Mathematical Society, 1987
We establish the nonexistence of equivariant maps between some classes of manifolds carrying G G -free actions and spheres, whose degree is prime to | G | \left | G \right | , the order of G G , where G G is a finite nontrivial group.
openaire   +2 more sources