Results 101 to 110 of about 1,606 (171)

Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]

J Chem Inf Model
Khaemba CS, Feng H, Chen D, Chen CL, Wei GW, Wei GW.   +5 more
europepmc   +1 more source

Six-dimensional Theories, Topological Strings, and Modular Invariance

, 2018
In the past six years, several efforts have been directed towards developing a dictionary in between the physics of six-dimesional theories and the algebraic geometry of elliptically-fibered Calabi-Yau three-folds, building upon methods in string theory.
Del Zotto, Michele
core  

Network geometry, topology, and spectral analysis in global stock markets: Insights from using the Ricci curvature, Euler characteristic, and random matrix theory. [PDF]

PLoS One
Domínguez-Monterroza A, Jiménez-Martín A, Mateos Caballero A.   +2 more
europepmc   +1 more source

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

Artif Intell Rev
Su Z, Liu X, Hamdan LB, Maroulas V, Wu J, Carlsson G, Wei GW, Wei GW.   +7 more
europepmc   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

Positive curvature conditions on contractible manifolds. [PDF]

Math Ann
Sweeney P.
europepmc   +1 more source

Integral Betti signatures of brain, climate and financial networks compared to hyperbolic, Euclidean and spherical models. [PDF]

Sci Rep
Caputi L, Pidnebesna A, Hlinka J.
europepmc   +1 more source

Algebraic methods in random matrices and enumerative geometry

, 2008
We review the method of symplectic invariants recently introduced to solve matrix models loop equations, and further extended beyond the context of matrix models.
Orantin, Nicolas, Eynard, Bertrand
core  

The Fundamental Group of an Algebraic Curve

, 2001
Seminar on Algebraic Geometry, MIT 2002 In this seminar we study geometric properties of algebraic curves, or of Riemann surfaces. with the help of an algebraic object attached: the fundamental group, either the algebraic fundamental group, as ...
Johan de Jong, Frans Oort, Jong, Johan de, Oort, F.   +3 more
core  

Lefschetz properties through a topological lens

These lecture notes were prepared for the Lefschetz Preparatory School, a graduate summer course held in Krakow, May 6-10, 2024. They present the story of the algebraic Lefschetz properties from their origin in algebraic geometry to some recent ...
Seceleanu, Alexandra
core