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- W2034385034 abstract "Let $ {cal Z}(M) $ be the 3-manifold invariant of Le, Murakami and Ohtsuki. We show that $ {cal Z}(M) = 1 + o(n) $ , where $ o(n) $ denotes terms of degree $ geq n $ , if M is a homology 3-sphere obtained from $ S^3 $ by surgery on an n-component Brunnian link whose Milnor $ overlinemu $ -invariants of length $ leq 2n $ vanish.¶We prove a realization theorem which is a partial converse to the above theorem.¶Using the Milnor filtration on links, we define a new bifiltration on the $ Bbb Q $ vector space with basis the set of oriented diffeomorphism classes of homology 3-spheres. This includes the Milnor level 2 filtration defined by Ohtsuki. We show that the Milnor level 2 and level 3 filtrations coincide after reindexing." @default.
- W2034385034 created "2016-06-24" @default.
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- W2034385034 date "1999-06-01" @default.
- W2034385034 modified "2023-09-30" @default.
- W2034385034 title "Milnor link invariants and quantum 3-manifold invariants" @default.
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- W2034385034 doi "https://doi.org/10.1007/s000140050092" @default.
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