Instanton Floer homology and Milnor fibers

Mathematische Zeitschrift 2026 Open access

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Authors: Kyoung-Seog Lee, Anatoly S. Libgober, Nikolai Saveliev
DOI: 10.1007/s00209-026-04110-8
Cited by: 0
References: 45

Abstract

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.

Fields of Study & Subjects

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Publication details

Journal / source
Mathematische Zeitschrift
Publisher
Springer Science and Business Media LLC
Volume
314
Issue
1
Publication date
1 September 2026
Language
EN