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Muñoz-Echániz, Samuel. Mapping class groups of h-cobordant manifolds. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e132. doi: 10.1017/fms.2025.10087
@article{10_1017_fms_2025_10087,
author = {Mu\~noz-Ech\'aniz, Samuel},
title = {Mapping class groups of h-cobordant manifolds},
journal = {Forum of Mathematics, Sigma},
pages = {e132},
year = {2025},
volume = {13},
number = {1},
doi = {10.1017/fms.2025.10087},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2025.10087/}
}
[ACD89] , and , ‘Generalized Tate homology, homotopy fixed points and the transfer’, in Algebraic Topology (Evanston, IL, 1988) (Contemp. Math.) vol. 96 (Amer. Math. Soc., Providence, RI, 1989), 1–13. MR 102266910.1090/conm/096/1022669 Google Scholar | DOI
[Bak75] , ‘Odd dimension surgery groups of odd torsion groups vanish’, Topology 14(4) (1975), 367–374. Google Scholar | DOI
[Bar64] , On the Structure and Classification of Differential Manifolds, Ph.D. thesis, University of Cambridge, 1964, Available at https://www.repository.cam.ac.uk/handle/1810/284364. Google Scholar
[Bas64] , ‘The stable structure of quite general linear groups,’ Bull. Amer. Math. Soc. 70(3) (1964), 429–433.10.1090/S0002-9904-1964-11130-7 Google Scholar | DOI
[Bas74] , ‘ of finite abelian groups’, Ann. of Math. 99(1) (1974), 118–153.10.2307/1971015 Google Scholar | DOI
[BGT13] , and , ‘A universal characterization of higher algebraic -theory’, Geom. Topol. 17(2) (2013), 733–838. MR 307051510.2140/gt.2013.17.733 Google Scholar | DOI
[BK72] and , ‘The homotopy spectral sequence of a space with coefficients in a ring’, Topology 11(1) (1972), 79–106.10.1016/0040-9383(72)90024-9 Google Scholar | DOI
[BLR75] , and , Groups of Automorphisms of Manifolds (Lecture Notes in Mathematics) vol. 473 (Springer-Verlag, Berlin-New York, 1975). With an appendix (‘The topological category’) by . MR 38084110.1007/BFb0079981 Google Scholar | DOI
[Bor74] , ‘Stable real cohomology of arithmetic groups’, Ann. scien. l’É.N.S. 7(2) (1974), 235–272. Google Scholar
[Bru68] , ‘On the homotopy groups of and ’, Ann. of Math. 88(2) (1968), 291–311.10.2307/1970576 Google Scholar | DOI
[Coh73] , A Course in Simple-Homotopy Theory (Graduate Texts in Mathematics) (Springer, New York, NY, 1973).10.1007/978-1-4684-9372-6 Google Scholar | DOI
[DS83] and , ‘On the homotopy type of diffeomorphism groups’, Illinois J. Math. 27(4) (1983), 578–596. Google Scholar | DOI
[ERW14] and , ‘Generalised Miller–Morita–Mumford classes for block bundles and topological bundles’, Algebr. Geom. Topol. 14(2) (2014), 1181–1204.10.2140/agt.2014.14.1181 Google Scholar | DOI
[GJ99] and , Simplicial Homotopy Theory (Progress in Mathematics) vol. 174 (Birkhäuser Verlag, Basel, 1999). MR 1711612 Google Scholar | DOI
[Hau80] , ‘Open books and -cobordisms’, Comment. Math. Helv. 55 (1980), 330–346. Google Scholar | DOI
[HJ83] and , ‘A remark on the isotopy classes of diffeomorphisms of lens spaces’, Pacific J. Math. 109(2) (1983), 411–423. Google Scholar | DOI
[HLLRW21] , , and , ‘A vanishing theorem for tautological classes of aspherical manifolds’, Geom. Topol. 25(1) (2021), 47–110.10.2140/gt.2021.25.47 Google Scholar | DOI
[HS76] and , ‘Parametrized surgery and isotopy’, Pacific J. Math. 67(2) (1976), 401–459.10.2140/pjm.1976.67.401 Google Scholar | DOI
[HW73] and , ‘Pseudo-isotopies of compact manifolds’, Soc. Math. de Fr. 6 (1973), 1–275. Google Scholar
[Igu82] , What Happens to Hatcher and Wagoner’s formulas for When the First Postnikov Invariant of is Nontrivial? (Lecture Notes in Math.) vol. 1046 (Springer, Berlin, 1982). Google Scholar
[Igu88] , ‘The stability theorem for smooth pseudoisotopies’, -Theory 2(1–2) (1988), 1–355. Google Scholar
[JK15] and , ‘How different can -cobordant manifolds be?’, Bull. Lond. Math. Soc. 47(4) (2015), 617–630.10.1112/blms/bdv039 Google Scholar | DOI
[JK18] and , ‘Whitehead torsion of inertial -cobordisms’, Topology Appl. 249(1) (2018), 150–159.10.1016/j.topol.2018.09.013 Google Scholar | DOI
[Kan58] , ‘On homotopy theory and c.s.s. groups’, Ann. of Math. 68(1) (1958), 38–53.10.2307/1970042 Google Scholar | DOI
[Kra19] , ‘On characteristic classes of exotic manifold bundles’, Math. Ann. 379(1–2) (2019), 1–21.10.1007/s00208-019-01847-y Google Scholar | DOI
[KS77] and , Foundational Essays on Topological Manifolds, Smoothings and Triangulations, vol. 1, (Princeton University Press and University of Tokyo Press, 1977). Google Scholar | DOI
[KS92] and , ‘Vanishing of whitehead torsion in dimension four’, Topology 31 (1992), 735–756.10.1016/0040-9383(92)90005-3 Google Scholar | DOI
[KS99] and , ‘On -cobordisms of spherical space forms’, Proc. Amer. Math. Soc. 127(5) (1999), 1525–1532. Google Scholar
[Kwa86] , ‘On four-dimensional -cobordism’, Proc. Amer. Math. Soc. 97(2) (1986), 352–354. Google Scholar
[LS76] and , ‘The group is cyclic of order forty-eight’, Ann. of Math. 104(1) (1976), 31–60.10.2307/1971055 Google Scholar | DOI
[LT19] and , ‘On the -theory of pullbacks’, Ann. of Math. 190(3) (2019), 877–930. Google Scholar | DOI
[Mal21] , Question: ‘Diffeomorphism groups of -cobordant manifolds’, 2021, MathOverflow, accessed on 20-02-2025. Available at: https://mathoverflow.net/questions/382359/diffeomorphism-groups-of-h-cobordant-manifolds. Google Scholar
[Maz63] , ‘Relative neighborhoods and the theorems of smale’, Ann. of Math. 77(2) (1963), 232.10.2307/1970215 Google Scholar | DOI
[ME23] , ‘A Weiss-Williams theorem for spaces of embeddings and the homotopy type of spaces of long knots’, Preprint, 2023, . Google Scholar | arXiv
[Mil66] , ‘Whitehead torsion’, Bull. Amer. Math. Soc. 72(3) (1966), 358–426.10.1090/S0002-9904-1966-11484-2 Google Scholar | DOI
[Mil71] , Introduction to Algebraic -theory (Ann. of Math. Studies) vol. 72 (Princeton University Press, Princeton, NJ, 1971). Google Scholar
[Olu53] , ‘Mappings of manifolds and the notion of degree’, Ann. of Math. 58(3) (1953), 458.10.2307/1969748 Google Scholar | DOI
[Qui67] , Homotopical Algebra (Springer Berlin Heidelberg, 1967).10.1007/BFb0097438 Google Scholar | DOI
[Qui70] , ‘A geometric formulation of surgery’, in Topology of Manifolds, no. III (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969) (1970), 500–511. Google Scholar
[Qui72] , ‘On the cohomology and -theory of the general linear groups over a finite field’, Ann. of Math. 96(3) (1972), 552–586. Google Scholar | DOI
[Qui73] , ‘Finite generation of the groups of rings of algebraic integers’, in Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) (Lecture Notes in Math.) vol. 341 (Berlin: Springer, 1973). Google Scholar
[Qui76] , ‘Letter from quillen to milnor on ’, in Algebraic -theory: Proceedings of the Conference Held at Northwestern University Evanston, January 12–16, 1976 (Springer-Verlag, 1976), 182–188. Edited by Google Scholar
[Ran81] , Exact Sequences in the Algebraic Theory of Surgery (Mathematical Notes) (Princeton University Press, Princeton, NJ, 1981). Google Scholar
[Ran92] , Algebraic -theory and Topological Manifolds (Cambridge Tracts in Math.) vol. 102 (Cambridge University Press, 1992). Google Scholar
[Sch99] , ‘Stable homotopical algebra and -spaces’, Math. Proc. Cambridge Philos. Soc. 126(2) (1999), 329–356.10.1017/S0305004198003272 Google Scholar | DOI
[Ste78] , ‘Whitehead groups of finite groups’, Bull. Amer. Math. Soc. 84(2) (1978), 201–212. Google Scholar | DOI
[Vog85] , The Involution in the Algebraic -theory of Spaces (Algebraic Geometric Topology: Lecture Notes in Math.) vol. 1126 (Springer, 1985). Google Scholar
[Wal85] , Algebraic -theory of Spaces (Lecture Notes in Mathematics) (Springer Berlin Heidelberg, 1985), 318–419. Google Scholar
[WJR13] , , and , Spaces of PL Manifolds and Categories of Simple Maps (Annals of Mathematics Studies) vol. 186 (Princeton University Press, Princeton, NJ, 2013). Google Scholar
[WW88] and , ‘Automorphisms of manifolds and algebraic -theory: I’, -Theory 1(6) (1988), 575–626.10.1007/BF00533787 Google Scholar | DOI
[WW89] and , ‘Automorphisms of manifolds and algebraic -theory. II’, J. Pure Appl. Algebra 62(1) (1989), 47–107. MR 102687410.1016/0022-4049(89)90020-0 Google Scholar | DOI
[ZTC19] , , and , ‘On the structures of , a finite abelian -group’, Algebra Colloq. 26(1) (2019), 105–112.10.1142/S1005386719000105 Google Scholar | DOI
[ZXDS21] , , and , ‘The shortest vector problem and tame kernels of cyclotomic fields’, J. Number Theory 227 (2021), 308–329.10.1016/j.jnt.2021.03.022 Google Scholar | DOI
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