Monopole equation and the \dsize(11)/(8)-conjecture

2001/01/01 by Mikio Furuta · 4 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Combinatorics #Conjecture #Magnetic monopole #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics

paper · pdf · doi:10.4310/mrl.2001.v8.n3.a5

openalex publication_date 2001/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/05

Abstract

Let M be a 4-dimensional oriented closed spin manifold. We write b l (M ) for the l-th Betti number of M and sign(M ) for the signature of M . In [13] Y. Matsumoto conjectured the following inequality.

Citations

• An application of gauge theory to four-dimensional topology
• Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS

Cited by

• Seiberg–Witten–Floer stable homotopy type of three-manifolds withb1= 0
• Unfolded Seiberg–Witten Floer spectra, I :Definition and invariance
• Topology in colored tensor models via crystallization theory
• 4-manifold [wikipedia]