THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS
SCIE
SCOPUS
- Title
- THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS
- Authors
- Cha, JC
- Date Issued
- 2006-02
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Abstract
- We study the effect of mutation on link concordance and 3-manifolds. We show that the set of links concordant to sublinks of homology boundary links is not closed under positive mutation. We also show that mutation does not preserve homology cobordism classes of 3-manifolds. A significant consequence is that there exist 3-manifolds which have the same quantum SU(2) -invariants but are not homology cobordant. These results are obtained by investigating the effect of mutation on the Milnor (mu) over bar -invariants, or equivalently the Massey products.
- Keywords
- mutation; link concordance; 3-manifolds; Milnor link invariants; HOMOLOGY BOUNDARY LINKS; ALGEBRAIC CLOSURE; BLANCHFIELD FORMS; MASSEY PRODUCTS; COBORDISM; CONSTRUCTIONS; SPHERES; WITTEN
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28673
- DOI
- 10.1142/S0218216506004415
- ISSN
- 0218-2165
- Article Type
- Article
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, vol. 15, no. 2, page. 239 - 257, 2006-02
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