Milnor link invariants and quantum 3-manifold invariants | Zendy

Nathan Habegger | Zendy; Kent E. Orr | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Milnor link invariants and quantum 3-manifold invariants

Author(s) -

Nathan Habegger,

Kent E. Orr

Publication year - 1999

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050092

Subject(s) - mathematics , diffeomorphism , homology (biology) , invariant (physics) , pure mathematics , linking number , manifold (fluid mechanics) , cohomology , combinatorics , filtration (mathematics) , spheres , mathematical physics , physics , astronomy , mechanical engineering , dna , biochemistry , chemistry , genetics , biology , engineering , gene

. Let Z(M) be the 3-manifold invariant of Le, Murakami andOhtsuki. We show that Z(M) = 1 + o(n), where o(n) denotes terms ofdegree n, if M is a homology 3-sphere obtained from S3by surgeryon an n-component Brunnian link whose Milnor -invariants of length 2n vanish.We prove a realization theorem which is a partial converse to theabove theorem.Using the Milnor filtration on links, we define a new bifiltration on theQ vector space with basis the set of oriented diffeomorphism...

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research