PU (2) monopoles. II: Top-level Seiberg-Witten moduli spaces and Witten's conjecture in low degrees

DOI10.1515/crll.2001.064zbMath0983.57025arXivdg-ga/9712005OpenAlexW2143900196WikidataQ123196698 ScholiaQ123196698MaRDI QIDQ2744703

Thomas G. Leness, Paul M. N. Feehan

Publication date: 7 October 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9712005

zbMATH Keywords

Seiberg-Witten invariantsmonopolesDonaldson invariants

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57)

Related Items

WHAT DO TOPOLOGISTS WANT FROM SEIBERG–WITTEN THEORY? ⋮ A vanishing result for a Casson-type instanton invariant ⋮ A two-category of Hamiltonian manifolds, and a (1+1+1) field theory ⋮ Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting ⋮ Remarks on Chern-Simons theory ⋮ The \(\mathrm{SO}(3)\) monopole cobordism and superconformal simple type ⋮ Superconformal simple type and Witten's conjecture ⋮ Degeneracy loci of families of Dirac operators ⋮ Witten's conjecture for many four-manifolds of simple type ⋮ \(SO\)(3) monopoles, level-one Seiberg--Witten moduli spaces, and Witten's conjecture in low degrees ⋮ A Kato-Yau inequality and decay estimate for eigenspinors.

Cites Work

• Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader
• The special functions and their approximations. Vol. I, II
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