An open 4-manifold having no instanton

作者：Tsukamoto Masaki^*

来源：Annals of Global Analysis and Geometry, 2011, 40(3): 251-286.

DOI：10.1007/s10455-011-9256-2

• Yang-Mills theory
• Instanton
• Open 4-manifold
• Infinite connected sum

Taubes proved that all compact oriented Riemannian 4-manifolds admit non-flat instantons. We show that there exists a non-compact oriented complete Riemannian 4-manifold having no non-flat instanton.

• 出版日期2011-10