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A Second Order Algebraic Knot Concordance Group
| Content Provider | Semantic Scholar |
|---|---|
| Author | Powell, Mark |
| Copyright Year | 2010 |
| Abstract | Using chain complexes with a Poincaré duality structure, we define an abelian group AC2 , our second order algebraic knot concordance group. We define a group homomorphism C!AC2 which factors through C=F.1:5/ , and we can extract the two stage Cochran–Orr–Teichner obstruction theory from our single stage obstruction group AC2 . Moreover there is a surjective homomorphism AC2! C=F.0:5/ , and we show that the kernel of this homomorphism is nontrivial. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.ed.ac.uk/~s0783888/2nd_order_alg_knot_gp_vs2.pdf |
| Alternate Webpage(s) | https://www.era.lib.ed.ac.uk/bitstream/handle/1842/5030/Powell2011.pdf?isAllowed=y&sequence=4 |
| Alternate Webpage(s) | http://profmath.uqam.ca/~powell/Second_Order_Alg_Conc_Gp_AMS.pdf |
| Alternate Webpage(s) | https://msp.org/agt/2012/12-2/agt-v12-n2-p02-s.pdf |
| Alternate Webpage(s) | https://msp.org/agt/2012/12-2/agt-v12-n2-p02-p.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Class Concordance (publishing) Knot (unit) Linear algebra Modulo operation Obstruction Treatment - Filtration Turing completeness Warnier/Orr diagram |
| Content Type | Text |
| Resource Type | Article |
