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

Volume 25, 1 issue

Volume 24, 9 issues

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
The classification of linked $3$–manifolds in $6$–space

Sergey Avvakumov

Algebraic & Geometric Topology 22 (2022) 2587–2630
DOI: 10.2140/agt.2022.22.2587
Bibliography
1 S Avvakumov, The classification of certain linked 3–manifolds in 6–space, Mosc. Math. J. 16 (2016) 1 MR3470574
2 J Boéchat, Plongements de variétés différentiables orientées de dimension 4k dans R6k+1, Comment. Math. Helv. 46 (1971) 141 MR295373
3 A Haefliger, Enlacements de sphères en codimension supérieure à 2, Comment. Math. Helv. 41 (1966/67) 51 MR212818
4 A Haefliger, Lissage des immersions, I, Topology 6 (1967) 221 MR208607
5 P J Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc. 30 (1955) 154 MR68218
6 M W Hirsch, The imbedding of bounding manifolds in euclidean space, Ann. of Math. 74 (1961) 494 MR133136
7 J F P Hudson, Concordance, isotopy, and diffeotopy, Ann. of Math. 91 (1970) 425 MR259920
8 J F P Hudson, Embeddings of bounded manifolds, Proc. Cambridge Philos. Soc. 72 (1972) 11 MR298679
9 J Milnor, Lectures on the h–cobordism theorem, Princeton Univ. Press (1965) MR0190942
10 V V Prasolov, A B Sossinsky, Knots, links, braids and 3–manifolds : an introduction to the new invariants in low-dimensional topology, 154, Amer. Math. Soc. (1997) MR1414898
11 A Skopenkov, A classification of smooth embeddings of 3–manifolds in 6–space, Math. Z. 260 (2008) 647 MR2434474
12 A B Skopenkov, Embedding and knotting of manifolds in Euclidean spaces, from: "Surveys in contemporary mathematics" (editors N Young, Y Choi), London Math. Soc. Lecture Note Ser. 347, Cambridge Univ. Press (2008) 248 MR2388495
13 A Skopenkov, Classification of knotted tori, Proc. Roy. Soc. Edinburgh Sect. A 150 (2020) 549 MR4080451
14 M Skopenkov, Suspension theorems for links and link maps, Proc. Amer. Math. Soc. 137 (2009) 359 MR2439461
15 J H C Whitehead, Manifolds with transverse fields in euclidean space, Ann. of Math. 73 (1961) 154 MR124917
16 A V Zhubr, On smoothing embeddings and isotopies, Math. Notes 99 (2016) 946 MR3519307