Equivariant Casson invariants and links of singularities

Olivier Collin; Nikolai Saveliev

doi:10.1023/A:1022388012635

Equivariant Casson invariants and links of singularities

Research output: Contribution to journal › Article › peer-review

Abstract

The equivariant Casson invariants and links of singularities were discussed. The graph homology spheres endowed with an involution representing them as double branched cover of S³ with branch set a Montesinos knot were elaborated. An explicit formula for the equivariant Casson invariant of such manifold was also derived.

Original language	English (US)
Pages (from-to)	151-165
Number of pages	15
Journal	Acta Applicandae Mathematicae
Volume	75
Issue number	1-3
DOIs	https://doi.org/10.1023/A:1022388012635
State	Published - Jan 2003
Externally published	Yes

Keywords

Casson invariant
Floer homology
Gauge theory
Links of complex singularities

ASJC Scopus subject areas

Applied Mathematics

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title = "Equivariant Casson invariants and links of singularities",

abstract = "The equivariant Casson invariants and links of singularities were discussed. The graph homology spheres endowed with an involution representing them as double branched cover of S3 with branch set a Montesinos knot were elaborated. An explicit formula for the equivariant Casson invariant of such manifold was also derived.",

keywords = "Casson invariant, Floer homology, Gauge theory, Links of complex singularities",

author = "Olivier Collin and Nikolai Saveliev",

note = "Funding Information: * The first author was supported by an NSERC Post-doctoral Fellowship and Harvard University. The work of the second author was partially supported by NSF Grant DMS 0196523.",

year = "2003",

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AU - Collin, Olivier

AU - Saveliev, Nikolai

N1 - Funding Information: * The first author was supported by an NSERC Post-doctoral Fellowship and Harvard University. The work of the second author was partially supported by NSF Grant DMS 0196523.

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N2 - The equivariant Casson invariants and links of singularities were discussed. The graph homology spheres endowed with an involution representing them as double branched cover of S3 with branch set a Montesinos knot were elaborated. An explicit formula for the equivariant Casson invariant of such manifold was also derived.

AB - The equivariant Casson invariants and links of singularities were discussed. The graph homology spheres endowed with an involution representing them as double branched cover of S3 with branch set a Montesinos knot were elaborated. An explicit formula for the equivariant Casson invariant of such manifold was also derived.

KW - Casson invariant

KW - Floer homology

KW - Gauge theory

KW - Links of complex singularities

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Equivariant Casson invariants and links of singularities

Abstract

Keywords

ASJC Scopus subject areas

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