Volume 17, issue 3 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Embedding calculus knot invariants are of finite type

Ryan Budney, James Conant, Robin Koytcheff and Dev Sinha

Algebraic & Geometric Topology 17 (2017) 1701–1742
Bibliography
1 P Boavida de Brito, M S Weiss, Spaces of smooth embeddings and configuration categories, preprint (2015) arXiv:1502.01640
2 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
3 R Budney, Little cubes and long knots, Topology 46 (2007) 1 MR2288724
4 R Budney, J Conant, K P Scannell, D Sinha, New perspectives on self-linking, Adv. Math. 191 (2005) 78 MR2102844
5 J Conant, Homotopy approximations to the space of knots, Feynman diagrams, and a conjecture of Scannell and Sinha, Amer. J. Math. 130 (2008) 341 MR2405159
6 J Conant, R Schneiderman, P Teichner, Jacobi identities in low-dimensional topology, Compos. Math. 143 (2007) 780 MR2330447
7 J Conant, P Teichner, Grope cobordism of classical knots, Topology 43 (2004) 119 MR2030589
8 W Dwyer, K Hess, Long knots and maps between operads, Geom. Topol. 16 (2012) 919 MR2928985
9 G Flowers, Satanic and Thelemic circles on knots, J. Knot Theory Ramifications 22 (2013) MR3069755
10 C D Giusti, Plumbers’ knots and unstable Vassiliev theory, PhD thesis, University of Oregon (2010) MR2941562
11 T G Goodwillie, Calculus, II : Analytic functors, K–Theory 5 (1992) 295 MR1162445
12 T G Goodwillie, J R Klein, Multiple disjunction for spaces of Poincaré embeddings, J. Topol. 1 (2008) 761 MR2461855
13 T G Goodwillie, M Weiss, Embeddings from the point of view of immersion theory, II, Geom. Topol. 3 (1999) 103 MR1694808
14 M N Goussarov, Interdependent modifications of links and invariants of finite degree, Topology 37 (1998) 595 MR1604891
15 K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
16 P J Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc. 30 (1955) 154 MR0068218
17 P Lambrechts, V Turchin, I Volić, The rational homology of spaces of long knots in codimension > 2, Geom. Topol. 14 (2010) 2151 MR2740644
18 J E McClure, J H Smith, A solution of Deligne’s Hochschild cohomology conjecture, from: "Recent progress in homotopy theory" (editors D M Davis, J Morava, G Nishida, W S Wilson, N Yagita), Contemp. Math. 293, Amer. Math. Soc. (2002) 153 MR1890736
19 J E McClure, J H Smith, Multivariable cochain operations and little n–cubes, J. Amer. Math. Soc. 16 (2003) 681 MR1969208
20 J E McClure, J H Smith, Cosimplicial objects and little n–cubes, I, Amer. J. Math. 126 (2004) 1109 MR2089084
21 J B Meilhan, A Yasuhara, On Cn–moves for links, Pacific J. Math. 238 (2008) 119 MR2443510
22 B A Munson, I Volić, Cubical homotopy theory, 25, Cambridge University Press (2015) MR3559153
23 P Salvatore, Knots, operads, and double loop spaces, Int. Math. Res. Not. 2006 (2006) MR2276349
24 K P Scannell, D P Sinha, A one-dimensional embedding complex, J. Pure Appl. Algebra 170 (2002) 93 MR1896343
25 H Schubert, Die eindeutige Zerlegbarkeit eines Knotens in Primknoten, S.-B. Heidelberger Akad. Wiss. Math.-Nat. Kl. 1949 (1949) 57 MR0031733
26 D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074
27 D P Sinha, Operads and knot spaces, J. Amer. Math. Soc. 19 (2006) 461 MR2188133
28 D P Sinha, The topology of spaces of knots: cosimplicial models, Amer. J. Math. 131 (2009) 945 MR2543919
29 D Sinha, B Walter, Lie coalgebras and rational homotopy theory, II : Hopf invariants, Trans. Amer. Math. Soc. 365 (2013) 861 MR2995376
30 N E Steenrod, Products of cocycles and extensions of mappings, Ann. of Math. 48 (1947) 290 MR0022071
31 V Turchin, Delooping totalization of a multiplicative operad, J. Homotopy Relat. Struct. 9 (2014) 349 MR3258687
32 I Volić, Finite type knot invariants and the calculus of functors, Compos. Math. 142 (2006) 222 MR2197410