Results 11 to 20 of about 19,905 (78)

Algebraic topology

open access: yesGraduate Studies in Mathematics, 2020
This lecture covers several basic methods for standard tasks in data analysis and image processing. A non-exclusive and non-exhaustive list of meth-ods: histograms, dimension reduction, clustering, filters, frequency analysis, morphological methods ...
Claudia Scheimbauer
semanticscholar   +1 more source

Hirzebruch $\chi_y$-genera modulo $8$ of fiber bundles for odd integers $y$ [PDF]

open access: yes, 2016
I. Hambleton, A. Korzeniewski and A. Ranicki have proved that the signature of a fiber bundle F↪E→B of closed, connected, compatibly oriented PL manifolds is always multiplicative mod4, i.e. σ(E)≡σ(F)σ(B)mod4. In this paper, we consider the Hirzebruch χy-
Rovi, C., Yokura, S.
core   +1 more source

Representability of algebraic topology for biomolecules in machine learning based scoring and virtual screening [PDF]

open access: yesPLoS Comput. Biol., 2017
This work introduces a number of algebraic topology approaches, including multi-component persistent homology, multi-level persistent homology, and electrostatic persistence for the representation, characterization, and description of small molecules and
Zixuan Cang, Lin Mu, G. Wei
semanticscholar   +1 more source

Unveiling the molecular mechanism of SARS-CoV-2 main protease inhibition from 137 crystal structures using algebraic topology and deep learning

open access: yesChemical Science, 2020
Currently, there is neither effective antiviral drugs nor vaccine for coronavirus disease 2019 (COVID-19) caused by acute respiratory syndrome coronavirus 2 (SARS-CoV-2).
D. Nguyen   +4 more
semanticscholar   +1 more source

Homotopy algebras inspired by classical open-closed string field theory [PDF]

open access: yes, 2004
We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's deformation ...
Kajiura, Hiroshige, Stasheff, Jim
core   +5 more sources

Open/closed string topology and moduli space actions via open/closed Hochschild actions [PDF]

open access: yes, 2010
In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several unexpected structures and conditions
Kaufmann, R.
core   +3 more sources

Open-closed field theories, string topology, and Hochschild homology

open access: yes, 2009
In this expository paper we discuss a project regarding the string topology of a manifold, that was inspired by recent work of Moore-Segal, Costello, and Hopkins and Lurie, on "open-closed topological conformal field theories".
Blumberg, Andrew J.   +2 more
core   +2 more sources

Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology [PDF]

open access: yesDiscrete & Computational Geometry, 2018
Let P∈Z[X,Y]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P \in ...
D. Diatta   +4 more
semanticscholar   +1 more source

Quantum Exotic PDE's

open access: yes, 2011
Following the previous works on the A. Pr\'astaro's formulation of algebraic topology of quantum (super) PDE's, it is proved that a canonical Heyting algebra ({\em integral Heyting algebra}) can be associated to any quantum PDE.
Prástaro, Agostino
core   +1 more source

String structures associated to indefinite Lie groups

open access: yes, 2019
String structures have played an important role in algebraic topology, via elliptic genera and elliptic cohomology, in differential geometry, via the study of higher geometric structures, and in physics, via partition functions. We extend the description
Sati, Hisham, Shim, Hyung-bo
core   +1 more source

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