An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg–Witten Invariants

DOI10.1090/memo/1226OpenAlexW1675210610MaRDI QIDQ4645894

Paul M. N. Feehan, Thomas G. Leness

Publication date: 11 January 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203047

zbMATH Keywords

intersection theorySeiberg-Witten invariantsmoduli spacesUhlenbeck compactificationgauge theorymonopolesDonaldson invariantsstratified spacesanti-self-dual connectionscobordismsWitten's conjecturegluing theoryclassification of smooth four-manifoldsKotschick-Morgan conjecture

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Moduli problems for differential geometric structures (58D27) Index theory and related fixed-point theorems on manifolds (58J20) Moduli problems for topological structures (58D29) Applications of global analysis to structures on manifolds (57R57) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Spin and Spin({}^c) geometry (53C27) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) General topology of 4-manifolds (57K40)

Related Items

Chern-Simons functional and the homology cobordism group, Characteristic classes via 4-dimensional gauge theory, The \(\mathrm{SO}(3)\) monopole cobordism and superconformal simple type, Superconformal simple type and Witten's conjecture

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