most citedVirtual Morse-Bott index, moduli spaces of pairs, and applications to topology of smooth four-manifolds

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math.DG2026★ 1 cited

Virtual Morse-Bott index, moduli spaces of pairs, and applications to topology of smooth four-manifolds

Paul M. N. Feehan, Thomas G. Leness

We previously developed an approach to Bialynicki-Birula theory for holomorphic actions on complex analytic spaces and the concept of virtual Morse-Bott indices for…

math.DG2025

Almost Hermitian structures on moduli spaces of non-Abelian monopoles and applications to the topology of symplectic four-manifolds

Paul M. N. Feehan, Thomas G. Leness

This work is a sequel to our previous monograph arXiv:2010.15789 (to appear in AMS Memoirs), where we initiated our program to prove that the Bogomolov-Miyaoka-Yau inequality holds…