Atiyah-Bott formula and homological block of Seifert fibered homology $3$-spheres
Shoma Sugimoto
TL;DR
This paper demonstrates that the homological blocks of Seifert fibered homology 3-spheres can be computed using the Atiyah-Bott fixed point formula iteratively, linking geometric fixed point techniques to topological invariants.
Contribution
It introduces a novel method to compute homological blocks of Seifert fibered homology 3-spheres through the iterative application of the Atiyah-Bott fixed point formula.
Findings
Homological blocks are computable via Atiyah-Bott formula.
Iterative application simplifies calculations of topological invariants.
Connects fixed point formulas with 3-manifold invariants.
Abstract
We show that the homological block of Seifert fibered homology -spheres are computed by the iterated use of Atiyah-Bott fixed point formula.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology