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Article overview
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3-Manifolds, tangles and persistent invariants | Jozef H. Przytycki
; Daniel S. Silver
; Susan G. Williams
; | Date: |
24 May 2004 | Subject: | Geometric Topology MSC-class: Primary 57M25; secondary 11R06 | math.GT | Affiliation: | George Washington University), Daniel S. Silver (University of South Alabama), Susan G. Williams (University of South Alabama | Abstract: | New obstructions for embedding one compact oriented 3-manifold in another are given. A theorem of D. Krebes concerning 4-tangles embedded in links arises as a special case. Algebraic and skein-theoretic generalizations for 2n-tangles provide invariants that persist in the corresponding invariants of links in which they embed. An example is given of a virtual 4-tangle for which Krebes’s theorem does not hold. | Source: | arXiv, math.GT/0405465 | Services: | Forum | Review | PDF | Favorites |
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