A Hodge theory for Alexandrov spaces with curvature bounded from above

DOI10.1142/S0219530514500183zbMath1314.58002OpenAlexW2139148889MaRDI QIDQ4983019

Nathan Smale

Publication date: 14 April 2015

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530514500183

zbMATH Keywords

Alexandrov spacesHodge theorycomputational topology

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Chain complexes in algebraic topology (55U15)

Cites Work

• Unnamed Item
• Hodge theory on metric spaces. Appendix by Anthony W. Baker
• Buildings of spherical type and finite BN-pairs
• The local structure of length spaces with curvature bounded above
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Hodge decomposition. A method for solving boundary value problems
• Generalized Riemannian spaces
• ABSTRACT AND CLASSICAL HODGE–DE RHAM THEORY

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