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- W4226437655 abstract "This paper shows that one cannot hear the rational cohomology ring of a hyperbolic 3-manifold. More precisely, while it is well-known that strongly isospectral manifolds have the same cohomology as vector spaces, we give an example of compact hyperbolic 3-manifolds that are strongly isospectral but have nonisomorphic rational cohomology rings. Along the way we implement a computer program which finds the nullity of the cup product map $H^1(M;mathbb{Q})wedge H^1(M;mathbb{Q})rightarrow H^2(M;mathbb{Q})$ for any aspherical space in terms of the presentation of the fundamental group." @default.
- W4226437655 created "2022-05-05" @default.
- W4226437655 creator A5066444842 @default.
- W4226437655 date "2021-11-22" @default.
- W4226437655 modified "2023-09-28" @default.
- W4226437655 title "Strongly isospectral hyperbolic 3-manifolds with nonisomorphic rational cohomology rings" @default.
- W4226437655 hasPublicationYear "2021" @default.
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