Localisation of the Donaldson's invariants along Seiberg-Witten classes
Victor Pidstrigach, Andrei Tyurin
TL;DR
This paper initiates the exploration of the relationship between Donaldson invariants and Seiberg-Witten invariants in smooth 4-manifolds, aiming to connect two important gauge-theoretic invariants.
Contribution
It proposes a new approach to relate Donaldson polynomials to Seiberg-Witten invariants, providing a foundational step towards unifying these invariants.
Findings
Preliminary framework for linking Donaldson and Seiberg-Witten invariants
Establishment of a localization technique along Seiberg-Witten classes
Initial results suggesting a deep connection between the two invariants
Abstract
This article is a first step in establishing a link between the Donaldson polynomials and Seiberg-Witten invariants of a smooth 4-manifold.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology