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- W2962725585 abstract "The d-invariant of an integral, positive definite lattice Λ records the minimal norm of a characteristic covector in each equivalence class $({textup{mod} ;}2varLambda)$ . We prove that the 2-isomorphism type of a connected graph is determined by the d-invariant of its lattice of integral flows (or cuts). As an application, we prove that a reduced, alternating link diagram is determined up to mutation by the Heegaard Floer homology of the link’s branched double-cover. Thus, alternating links with homeomorphic branched double-covers are mutants." @default.
- W2962725585 created "2019-07-30" @default.
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- W2962725585 date "2012-08-11" @default.
- W2962725585 modified "2023-10-16" @default.
- W2962725585 title "Lattices, graphs, and Conway mutation" @default.
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- W2962725585 doi "https://doi.org/10.1007/s00222-012-0421-4" @default.
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