A generalized blow-up formula for Seiberg--Witten invariants
Kim A. Froyshov
TL;DR
This paper establishes a generalized formula for Seiberg--Witten invariants that explains how these invariants change under blow-up and rational blow-down operations, advancing understanding in 4-manifold topology.
Contribution
It provides a unified gluing formula for Seiberg--Witten invariants applicable to blow-up and rational blow-down procedures.
Findings
Derived a formula describing invariant behavior under blow-up
Extended the formula to rational blow-down cases
Enhanced tools for 4-manifold topology analysis
Abstract
We prove a gluing formula for Seiberg--Witten invariants which describes in particular the behaviour of the invariant under blow-up and rational blow-down.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Operator Algebra Research