2009Banach Center PublicationsOpen access

On a secondary invariant of the hyperelliptic mapping class group

Takayuki Morifuji

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Abstract

We discuss relations among several invariants of $3$-manifolds including Meyer's function, the $\eta$-invariant, the von Neumann $\rho$-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.

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We discuss relations among several invariants of $3$-manifolds including Meyer's function, the $\eta$-invariant, the von Neumann $\rho$-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.

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Available abstract

We discuss relations among several invariants of $3$-manifolds including Meyer's function, the $\eta$-invariant, the von Neumann $\rho$-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.

Key concepts: Invariant (physics), Mapping class group, Mathematics, Pure mathematics, Group (periodic table), Surface (topology), Physics, Mathematical physics

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