Yang–Mills theory and jumping curves

DOI10.1142/S0129167X15500299zbMath1331.53039arXiv1312.0928OpenAlexW2962904197WikidataQ125705661 ScholiaQ125705661MaRDI QIDQ5252619

Yasha Savelyev

Publication date: 2 June 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0928

zbMATH Keywords

Yang-Mills flowjumping curvessmooth invariantscascade complex

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Morse-Smale systems (37D15)

Cites Work

• Unnamed Item
• On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles
• On the topology of spaces of holomorphic maps
• Loop groups and Yang-Mills theory in dimension two
• The topology of spaces of rational functions
• The topology of the space of rational curves on a toric variety. - Appendix 1: \(\pi_ 0 Q^ X_ D\) and \(\pi_ 1Q^ X_ D\). -Appendix 2: Representation of holomorphic maps by polynomials
• Cascades and perturbed Morse-Bott functions
• Topology of the Space of Absolute Minima of the Energy Functional
• The Yang-Mills equations over Riemann surfaces

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