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

Volume 28
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
On automorphisms of high-dimensional solid tori

Mauricio Bustamante and Oscar Randal-Williams

Geometry & Topology 28 (2024) 1629–1692
Bibliography
1 G Arone, M Mahowald, The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres, Invent. Math. 135 (1999) 743 MR1669268
2 A Bak, K–theory of forms, 98, Princeton Univ. Press (1981) MR0632404
3 H Bass, A Heller, R G Swan, The Whitehead group of a polynomial extension, Inst. Hautes Études Sci. Publ. Math. 22 (1964) 61 MR0174605
4 H J Baues, On the group of homotopy equivalences of a manifold, Trans. Amer. Math. Soc. 348 (1996) 4737 MR1340168
5 J C Becker, D H Gottlieb, The transfer map and fiber bundles, Topology 14 (1975) 1 MR0377873
6 M Behrens, The Goodwillie tower and the EHP sequence, 1026, Amer. Math. Soc. (2012) MR2976788
7 A Berglund, I Madsen, Homological stability of diffeomorphism groups, Pure Appl. Math. Q. 9 (2013) 1 MR3126499
8 A J Berrick, The plus-construction and fibrations, Q. J. Math. 33 (1982) 149 MR0657121
9 R Budney, D Gabai, Knotted 3–balls in S4, preprint (2019) arXiv:1912.09029
10 D Burghelea, The structure of block-automorphisms of M × S1, Topology 16 (1977) 65 MR0438367
11 D Burghelea, R Lashof, Geometric transfer and the homotopy type of the automorphism groups of a manifold, Trans. Amer. Math. Soc. 269 (1982) 1 MR0637027
12 D Burghelea, R Lashof, M Rothenberg, Groups of automorphisms of manifolds, 473, Springer (1975) MR0380841
13 B Calmès, E Dotto, Y Harpaz, F Hebestreit, M Land, K Moi, D Nardin, T Nikolaus, W Steimle, Hermitian K–theory for stable –categories, II : Cobordism categories and additivity, preprint (2020) arXiv:2009.07224
14 B Calmès, E Dotto, Y Harpaz, F Hebestreit, M Land, K Moi, D Nardin, T Nikolaus, W Steimle, Hermitian K–theory for stable –categories, III : Grothendieck–Witt groups of rings, preprint (2020) arXiv:2009.07225
15 D Crowley, J Sixt, Stably diffeomorphic manifolds and l2q+1([π]), Forum Math. 23 (2011) 483 MR2805192
16 F T Farrell, W C Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, from: "Algebraic and geometric topology, I" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 325 MR0520509
17 N Friedrich, Homological stability of automorphism groups of quadratic modules and manifolds, Doc. Math. 22 (2017) 1729 MR3760514
18 S Galatius, O Randal-Williams, Stable moduli spaces of high-dimensional manifolds, Acta Math. 212 (2014) 257 MR3207759
19 S Galatius, O Randal-Williams, Homological stability for moduli spaces of high dimensional manifolds, II, Ann. of Math. 186 (2017) 127 MR3665002
20 S Galatius, O Randal-Williams, Homological stability for moduli spaces of high dimensional manifolds, I, J. Amer. Math. Soc. 31 (2018) 215 MR3718454
21 S Galatius, O Randal-Williams, Moduli spaces of manifolds : a user’s guide, from: "Handbook of homotopy theory" (editor H Miller), CRC (2020) 443 MR4197992
22 T G Goodwillie, Calculus, III : Taylor series, Geom. Topol. 7 (2003) 645 MR2026544
23 J Grunewald, J R Klein, T Macko, Operations on the A-theoretic nil-terms, J. Topol. 1 (2008) 317 MR2399133
24 A J Hahn, O T O’Meara, The classical groups and K–theory, 291, Springer (1989) MR1007302
25 A E Hatcher, Concordance spaces, higher simple-homotopy theory, and applications, from: "Algebraic and geometric topology, I" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 3 MR0520490
26 A Hatcher, J Wagoner, Pseudo-isotopies of compact manifolds, 6, Soc. Math. France (1973) MR0353337
27 F Hebestreit, M Land, T Nikolaus, On the homotopy type of L-spectra of the integers, J. Topol. 14 (2021) 183 MR4201125
28 F Hebestreit, W Steimle, Stable moduli spaces of Hermitian forms, preprint (2021) arXiv:2103.13911
29 L Hesselholt, On the Whitehead spectrum of the circle, from: "Algebraic topology" (editors N A Baas, E M Friedlander, B Jahren, P A Østvær), Abel Symp. 4, Springer (2009) 131 MR2597738
30 G Higman, The units of group-rings, Proc. Lond. Math. Soc. 46 (1940) 231 MR0002137
31 P J Hilton, A note on the P–homomorphism in homotopy groups of spheres, Proc. Cambridge Philos. Soc. 51 (1955) 230 MR0066648
32 W C Hsiang, R W Sharpe, Parametrized surgery and isotopy, Pacific J. Math. 67 (1976) 401 MR0494165
33 A Kosiński, On the inertia group of π–manifolds, Amer. J. Math. 89 (1967) 227 MR0214085
34 M Krannich, Mapping class groups of highly connected (4k+2)–manifolds, Selecta Math. 26 (2020) 81 MR4182837
35 M Krannich, A homological approach to pseudoisotopy theory, I, Invent. Math. 227 (2022) 1093 MR4384194
36 M Kreck, Isotopy classes of diffeomorphisms of (k1)–connected almost-parallelizable 2k–manifolds, from: "Algebraic topology" (editors J L Dupont, I H Madsen), Lecture Notes in Math. 763, Springer (1979) 643 MR0561244
37 N J Kuhn, The geometry of the James–Hopf maps, Pacific J. Math. 102 (1982) 397 MR0686560
38 A Kupers, Some finiteness results for groups of automorphisms of manifolds, Geom. Topol. 23 (2019) 2277 MR4019894
39 A Kupers, O Randal-Williams, The cohomology of Torelli groups is algebraic, Forum Math. Sigma 8 (2020) MR4190064
40 A Kupers, O Randal-Williams, Framings of Wg,1, Q. J. Math. 72 (2021) 1029 MR4310307
41 A Kupers, O Randal-Williams, On diffeomorphisms of even-dimensional discs, J. Amer. Math. Soc. (2024)
42 I Madsen, L R Taylor, B Williams, Tangential homotopy equivalences, Comment. Math. Helv. 55 (1980) 445 MR0593058
43 M Mahowald, Some Whitehead products in Sn, Topology 4 (1965) 17 MR0178467
44 J P May, Fibrewise localization and completion, Trans. Amer. Math. Soc. 258 (1980) 127 MR0554323
45 R J Milgram, A A Ranicki, The L–theory of Laurent extensions and genus 0 function fields, J. Reine Angew. Math. 406 (1990) 121 MR1048238
46 A J Nicas, Induction theorems for groups of homotopy manifold structures, 267, Amer. Math. Soc. (1982) MR0668807
47 D Quillen, Finite generation of the groups Ki of rings of algebraic integers, from: "Algebraic K–theory, I : Higher K–theories" (editor H Bass), Lecture Notes in Math. 341, Springer (1973) 179 MR0349812
48 F Quinn, A geometric formulation of surgery, from: "Topology of manifolds" (editors J C Cantrell, C H Edwards Jr.), Markham (1970) 500 MR0282375
49 O Randal-Williams, N Wahl, Homological stability for automorphism groups, Adv. Math. 318 (2017) 534 MR3689750
50 A Ranicki, The algebraic theory of surgery, I : Foundations, Proc. Lond. Math. Soc. 40 (1980) 87 MR0560997
51 A Ranicki, Exact sequences in the algebraic theory of surgery, 26, Princeton Univ. Press (1981) MR0620795
52 A Ranicki, Lower K– and L–theory, 178, Cambridge Univ. Press (1992) MR1208729
53 C Schlichtkrull, The cyclotomic trace for symmetric ring spectra, from: "New topological contexts for Galois theory and algebraic geometry" (editors A Baker, B Richter), Geom. Topol. Monogr. 16, Geom. Topol. Publ. (2009) 545 MR2544396
54 J L Shaneson, Wall’s surgery obstruction groups for G × Z, Ann. of Math. 90 (1969) 296 MR0246310
55 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 269 MR0646078
56 S Thomeier, Einige Ergebnisse über Homotopiegruppen von Sphären, Math. Ann. 164 (1966) 225 MR0200927
57 F Waldhausen, Algebraic K–theory of topological spaces, I, from: "Algebraic and geometric topology, I" (editors A Baker, B Richter), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 35 MR0520492
58 F Waldhausen, B Jahren, J Rognes, Spaces of PL manifolds and categories of simple maps, 186, Princeton Univ. Press (2013) MR3202834
59 C T C Wall, The action of Γ2n on (n1)–connected 2n–manifolds, Proc. Amer. Math. Soc. 13 (1962) 943 MR0143223
60 C T C Wall, Surgery on compact manifolds, 1, Academic (1970) MR431216
61 T Watanabe, Theta-graph and diffeomorphisms of some 4–manifolds, preprint (2020) arXiv:2005.09545
62 M S Weiss, Rational Pontryagin classes of Euclidean fiber bundles, Geom. Topol. 25 (2021) 3351 MR4372633
63 M Weiss, B Williams, Automorphisms of manifolds and algebraic K–theory, I, K–Theory 1 (1988) 575 MR0953917
64 M Weiss, B Williams, Automorphisms of manifolds and algebraic K–theory, II, J. Pure Appl. Algebra 62 (1989) 47 MR1026874
65 M Weiss, B Williams, Automorphisms of manifolds, from: "Surveys on surgery theory, II" (editors S Cappell, A Ranicki, J Rosenberg), Ann. of Math. Stud. 149, Princeton Univ. Press (2001) 165 MR1818774
66 M S Weiss, B E Williams, Automorphisms of manifolds and algebraic K–theory, III, 1084, Amer. Math. Soc. (2014) MR3235548
67 G W Whitehead, Elements of homotopy theory, 61, Springer (1978) MR0516508