The geometric genus, the Casson invariant conjecture and splice type singularities

• Autorzy: Okuma T.
• Języki publikacji: EN

Abstrakty

EN

This is a survey of some results on splice-quotient singularities which are a natural and broad generalization of quasihomogeneous surface singularities with rational homology sphere links. From its topology (i.e., the link or the resolution graph), we can write down the "leading terms" of equations of a splice-quotient singularity, and compute the geometric genus. Applying the formula for the geometric genus, we can verify the Casson invariant conjecture for splice-quotient singularities.

Słowa kluczowe

EN

surface singularity; splice-quotient singularity; splice type singularity; universal abelian cover

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 325--338
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Okuma T.

• Department of Education Yamagata University Yamagata 990-8560, Japan,

Bibliografia

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