Instanton Floer homology and Milnor Fibers

Kyoung-Seog Lee; Anatoly Libgober; Nikolai Saveliev

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arXiv · 2410.16584

Instanton Floer homology and Milnor Fibers

Kyoung-Seog Lee·Anatoly Libgober·Nikolai Saveliev

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Abstract

In the early days of the Floer theory, Atiyah asked if there is a Milnor fiber description of the Floer homology of the links of singularities. We answer this question for the Brieskorn-Hamm complete intersection singularities. The resulting combinatorial formulas lead to an independent proof of the equality of the Casson invariants in the Donaldson and Seiberg-Witten theories. We use similar techniques to express the Heegaard Floer d-invariant of torus knots in terms of their Milnor fibers.

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BibTeX RIS

Kyoung-Seog Lee, Anatoly Libgober, Nikolai Saveliev. 2024-10-22. Instanton Floer homology and Milnor Fibers. https://arxiv.org/abs/2410.16584

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