Manifold Atlas:Bibliography 'K'
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K
- [Kreck2018] M. Kreck, On the classification of 1-connected 7-manifolds with torsion free second homology, J. Topol. 11 (2018), no.3, 720–738. MR3830881 Zbl 06963803
- [Kaiser1988] U. Kaiser, Immersions in codimension 1 up to regular homotopy, Arch. Math. (Basel) 51 (1988), no. 4, 371–377. MR964963 (89m:57018)
- [Kapovich&Benakli2002] I. Kapovich and N. Benakli, Boundaries of hyperbolic groups, in Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001), Contemp. Math., 296, Amer. Math. Soc., Providence, RI, (2002) 39–93. MR1921706 (2004e:20075) Zbl 1044.20028
- [Karasev&Skopenkov2020] R. Karasev and A. Skopenkov. Some `converses' to intrinsic linking theorems. Discr. Comp. Geom., 70:3 (2023), 921--930. arxiv preprint.
- [Kashaev1997] R. M. Kashaev, The hyperbolic volume of knots from the quantum dilogarithm, Lett. Math. Phys. 39 (1997), no.3, 269–275. MR1434238 (98b:57012) Zbl 0876.57007
- [Kawauchi&Kojima1980] A. Kawauchi and S. Kojima, Algebraic classification of linking pairings on -manifolds, Math. Ann. 253 (1980), no.1, 29–42. MR594531 (82b:57007) Zbl 0427.57001
- [Kearton1975] C. Kearton, Cobordism of knots and Blanchfield duality, J. London Math. Soc. (2) 10 (1975), no.4, 406–408. MR0385873 (52 #6732) Zbl 0305.57015
- [Kearton1979] C. Kearton, Obstructions to embedding and isotopy in the metastable range, Math. Ann. 243 (1979), 103-113. MR0543720 (82k:57012) Zbl 0401.57033
- [Kearton1983] C. Kearton, An algebraic classification of certain simple even-dimensional knots, Trans. Amer. Math. Soc. 176 (1983), 1–53.
- [Kervaire&Milnor1961] M. A. Kervaire and J. W. Milnor, On -spheres in -manifolds, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1651–1657. MR0133134 (24 #A2968) Zbl 0107.40303
- [Kervaire&Milnor1963] M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR0148075 (26 #5584) Zbl 0115.40505
- [Kervaire1959] M. A. Kervaire, A note on obstructions and characteristic classes, Amer. J. Math. 81 (1959), 773–784. MR0107863 (21 #6585) Zbl 0124.16302
- [Kervaire1959a] M. Kervaire, An interpretation of G. Whitehead's generalization of H. Hopf's invariant, Ann. of Math. 62 (1959) 345--362.
- [Kervaire1960] M. A. Kervaire, Some nonstable homotopy groups of Lie groups, Illinois J. Math. 4 (1960), 161–169. MR0113237 (22 #4075) Zbl 0105.35302
- [Kervaire1960a] M. A. Kervaire, A manifold which does not admit any differentiable structure, Comment. Math. Helv. 34 (1960), 257–270. MR0139172 (25 #2608) Zbl 0145.20304
- [Kervaire1965] M. A. Kervaire, Les noeuds de dimensions sup'erieures, Bull. Soc. Math. France 93 (1965), 225-271.
- [KervaireMilnorletters] M. A. Kervaire and J. W. Milnor, [1] Letters 1958-1961
- [Kerékjártó1923] B. Kerékjártó, Vorlesung über Topologie, Springer, Berlin 1923.
- [Killing1879] W. Killing, Ueber zwei Raumformen mit constanter Krümmung, J. Reine Angew. Math., 86 (1879), 72-83. MR1579765 Zbl 10.0344.01
- [Killing1885] W. Killing, Die nichteuklidischen Raumformen in analytischer Behandlung., Leipzig, 1885. Zbl 17.0508.01
- [Killing1891] W. Killing, Ueber die Clifford-Klein'schen Raumformen., (German) Math. Ann. 39 (1891), 257-270. MR1510701 Zbl 23.0529.01
- [Killing1893] W. Killing, Einführung in die Grundlagen der Geometrie. I. Band, Paderborn. F. Schöningh. 1893. Zbl 25.0853.01
- [Kirby&Siebenmann1977] R. C. Kirby and L. C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Princeton University Press, Princeton, N.J., 1977. MR0645390 (58 #31082) Zbl 0361.57004
- [Kirby&Taylor1990] R. C. Kirby and L. R. Taylor, structures on low-dimensional manifolds, Geometry of low-dimensional manifolds, 2 (Durham, 1989), Cambridge Univ. Press (1990), 177–242. MR1171915 (94b:57031) Zbl 0754.57020
- [Kirby1989] R.C. Kirby, The topology of 4-manifolds, Lecture Notes in Math. 1374, Springer-Verlag, 1989. MR1001966 (90j:57012)
- [Kirby1997] R. Kirby, Problems in low-dimensional topology, Geometric topology (Athens, GA, 1993), 35–473 Amer. Math. Soc. 1997. MR1470751 Zbl 0888.57014
- [Kirillov2004] A. A. Kirillov, Lectures on the orbit method, Graduate Studies in Mathematics 64, American Mathematical Society, Providence, RI, 2004. MR2069175 (2005c:22001) Zbl 02121486
- [Kister1961] J. M. Kister, Examples of periodic maps on Euclidean spaces without fixed points. , Bull. Amer. Math. Soc. 67 (1961), 471–474. MR0130929 (24 #A783) Zbl 0101.15602
- [Kister1963] J. M. Kister, Differentiable periodic actions on without fixed points, Amer. J. Math. 85 (1963), 316–319. MR0154278 (27 #4227) Zbl 0119.18801
- [Kister1964] J. M. Kister, Microbundles are fibre bundles, Ann. of Math. (2) 80 (1964), 190–199. MR0180986 (31 #5216) Zbl 0131.20602
- [Kitchloo&Laures&Wilson2004] N. Kitchloo, G. Laures and W. S. Wilson, The Morava -theory of spaces related to , Adv. Math. 189 (2004), no.1, 192–236. MR2093483 (2005k:55002) Zbl 1063.55002
- [Kitchloo&Laures&Wilson2004a] N. Kitchloo, G. Laures and W. S. Wilson, The Morava -theory of spaces related to , Adv. Math. 189 (2004), no.1, 192–236. MR2093483 (2005k:55002) Zbl 1063.55002
- [Kitchloo&Laures&Wilson2004b] N. Kitchloo, G. Laures and W. S. Wilson, Splittings of bicommutative Hopf algebras, J. Pure Appl. Algebra 194 (2004), no.1-2, 159–168. MR2086079 (2005e:55019) Zbl 1066.16041
- [Klein1873] F. Klein, Remarks about the connectivity of surfaces. (Bmerkungen über den Zusammenhang der Flächen), Math. Ann. (1874) no.4, 549–557. Zbl 06.0307.01
- [Klein1890] F. Klein, Zur Nicht-Euklidischen Geometrie, Math. Ann. 37 (1890), 544-572. Zbl 22.0535.01
- [Klein1924] F. Klein, Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert. Ausgabe in einem Band. Reprint., Grundlehren der mathematischen Wissenschaften. Band XXIV und XXV. Berlin-Heidelberg-New York: Springer-Verlag. XIII, 1979. MR0529278 (82c:01027) Zbl 0398.01006
- [Klein1927] F. Klein, Vorlesungen über nicht-euklidische Geometrie. Bearbeitet von A. Rosemann Berlin 1927, Verlag von Julius Springer Berlin 1928. Nachdruck 1968, XII, 326 S. mit 237 Abb. 1968. MR0226477 (37 #2066) Zbl 0157.27101
- [Klein2001] J. R. Klein, The dualizing spectrum of a topological group, Math. Ann. 319 (2001), no.3, 421–456. MR1819876 (2001m:55037) Zbl 0982.55004
- [Kleiner&Lott2008] B. Kleiner and J. Lott, Notes on Perelman's papers, Geom. Topol. 12 (2008), no. 5, 2587–2855. MR2460872 (2010h:53098) Zbl 05530173
- [Klingenberg1978] W. Klingenberg, Lectures on closed geodesics, Springer-Verlag, 1978. MR0478069 (57 #17563) Zbl 0517.58004
- [Klingenberg1995] W. P. A. Klingenberg, Riemannian geometry, Walter de Gruyter & Co., 1995. MR1330918 (95m:53003) Zbl 1073.53006
- [Kneser1925] H. Kneser, Eine Bemerkung über dreidimensionale Mannigfaltigkeiten, Nachrichten Göttingen (1925), 128–130. Zbl 51.0448.04
- [Kneser1926] H. Kneser Die Topologie der Mannigfaltigkeiten Jahresberichte DMV 34: (1926) 1–14.
- [Kneser1928] H. Kneser, Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten, in Jahresbericht der Deutschen Mathematiker-Vereinigung 38 (1928) 248–259. Zbl 54.0644.05
- [Kneser1929] H. Kneser, Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten, Jahresbericht D. M. V. 38 (1929), 248-260. Zbl 55.0311.03
- [Kobayashi&Nomizu1963] S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol I, Interscience Publishers, a division of John Wiley & Sons, New York-London, 1963. MR1393940 (97c:53001a) Zbl 0508.53002
- [Kobayashi1959] S. Kobayashi, Remarks on complex contact manifolds, Proc. Amer. Math. Soc. 10 (1959), 164–167. MR0111061 (22 #1925) Zbl 0090.38502
- [Kogan&Skopenkov2021] E. Kogan and A. Skopenkov, Embeddings of -complexes in -manifolds and minimum rank of partial symmetric matrices, arXiv:2112.06636.
- [Koschorke&Sanderson1977] U. Koschorke and B. Sanderson, Geometric interpretation of the generalized Hopf invariant, Math. Scand. 41 (1977) 199--217.
- [Koschorke1981] U. Koschorke, Vector fields and other vector bundle morphisms-a singularity approach, Springer, 1981. MR611333 (82i:57026) Zbl 0459.57016
- [Koschorke1988] U. Koschorke, Link maps and the geometry of their invariants, Manuscripta Math. 61:4 (1988) 383--415.
- [Koschorke2013] U. Koschorke, Immersion, http://www.map.mpim-bonn.mpg.de/Immersion
- [Koseki1958] K. Koseki, Poincarésche Vermutung in Topologie, Math. J. Okayama Univ. 8 (1958), 1–106. MR0100842 (20 #7270) Zbl 0084.19202
- [Kosinski1961] A. Kosinski, On Alexander's theorem and knotted tori, In: Topology of 3-Manifolds, Prentice-Hall, Englewood Cliffs, Ed. M.~K.~Fort, N.J., 1962, 55--57. Cf. Fort1962.
- [Kosinski1971] A. Kosinski, Toda brackets in differential topology, Comment. Math. Helv. 46 (1971), 113–123. MR0288774 (44 #5970) Zbl 0216.19902
- [Kotiuga2010] P. Robert Kotiuga, Iron Rings, Doctor Honoris Causa Raoul Bott, Carl Herz, and a Hidden Hand, (2010). Available at the arXiv:1003.0152. Zbl 1195.01028
- [Koto&Morimoto&Qi2008] A. Koto, M. Morimoto and Y. Qi, The Smith sets of finite groups with normal Sylow 2-subgroups and small nilquotients, J. Math. Kyoto Univ. 48 (2008), no.1, 219–227. MR2437897 (2009g:57056) Zbl 1157.55004
- [Kouneiher&Flament&Nabonnand&Szczeciniarz2005] J. Kouneiher, D. Flament, P. Nabonnand and J. Szczeciniarz, Geometry in the 20th century, 1930–2000 History and horizons (Géométrie au XXe siècle, 1930–2000 Histoire et horizons), Paris: Hermann. 2005. Zbl 1085.00004
- [Kowalski1980] O. Kowalski, Generalized symmetric spaces, LNM 805, Springer-Verlag, 1980. MR579184 (83d:53036) Zbl 0614.53040
- [Kra&Maskit1981] I. Kra and B. Maskit, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference, Ann. of Math. Stud. 97, Princeton University Press, 1981. MR624799 (82f:32002) Zbl 0447.00006
- [Kramer&Stolz2007] L. Kramer and S. Stolz, A diffeomorphism classification of manifolds which are like projective planes, J. Differential Geom. 77 (2007), no.2, 177–188. MR2355782 (2008g:57032) Zbl 1133.57017
- [Kreck&Lück&Teichner1994] M. Kreck, W. Lück and P. Teichner, Stable prime decompositions of four-manifolds, Prospects in topology, Princeton Univ. Press, Princeton, NJ (1995), 251–269. MR1368662 Zbl 0928.57019
- [Kreck&Lück2005] M. Kreck and W. Lück, The Novikov conjecture, Birkhäuser Verlag, Basel, 2005. MR2117411 (2005i:19003) Zbl 1058.19001
- [Kreck&Lück2009] M. Kreck and W. Lück, Topological rigidity for non-aspherical manifolds, Pure Appl. Math. Q. 5 (2009), no.3, Special Issue: In honor of Friedrich Hirzebruch., 873–914. MR2532709 (2010g:57026) Zbl 1196.57018
- [Kreck&Stolz1988] M. Kreck and S. Stolz, A diffeomorphism classification of -dimensional homogeneous Einstein manifolds with -symmetry, Ann. of Math. (2) 127 (1988), no.2, 373–388. MR932303 (89c:57042) Zbl 0649.53029
- [Kreck&Stolz1991] M. Kreck and S. Stolz, Some nondiffeomorphic homeomorphic homogeneous -manifolds with positive sectional curvature, J. Differential Geom. 33 (1991), 465–486. MR1094466 (92d:53043) Zbl 0733.53025
- [Kreck&Stolz1998] M. Kreck and S. Stolz, A correction on: ``Some nondiffeomorphic homeomorphic homogeneous -manifolds with positive sectional curvature, J. Differential Geom. 49 (1998), no.1, 203–204. MR1642125 (99h:53069)
- [Kreck1979] M. Kreck, Isotopy classes of diffeomorphisms of -connected almost-parallelizable -manifolds, Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus, Aarhus, 1978), Springer (1979), 643–663. MR561244 (81i:57029) Zbl 0421.57009
- [Kreck1984] M. Kreck, Manifolds with unique differentiable structure, Topology 23 (1984), no.2, 219–232. MR744852 (85j:57051) Zbl 0547.57025
- [Kreck1985] M. Kreck, An extension of the results of Browder, Novikov and Wall about surgery on compact manifolds, preprint Mainz (1985).
- [Kreck1999] M. Kreck, Surgery and duality, Ann. of Math. (2) 149 (1999), no.3, 707–754. MR1709301 (2001a:57051) Zbl 0935.57039
- [Kreck2001] M. Kreck, An inverse to the Poincaré conjecture, Festschrift: Erich Lamprecht, Arch. Math. (Basel) 77 (2001), 98–106. MR1845679 Zbl 0990.57008
- [Kreck2010] M. Kreck, Differential algebraic topology, Graduate Studies in Mathematics, 110, American Mathematical Society, 2010. MR2641092 (2011i:55001) Zbl 05714474
- [Kreck2013] M. Kreck, Orientation of manifolds, Bull. Man. Atl. (2013).
- [Kreck2018] M. Kreck, On the classification of 1-connected 7-manifolds with torsion free second homology, J. Topol. 11 (2018), no.3, 720–738. MR3830881 Zbl 06963803
- [Kreines1932] M. Kreines, Zur Konstruktion der Poincaré-Räume, Rend. Circ. Mat. Palermo 56 (1932), 277-280. Zbl 0005.41705
- [Krylov2003] N. A. Krylov, On the Jacobi group and the mapping class group of , Trans. Amer. Math. Soc. 355 (2003), no.1, 99–117 (electronic). MR1928079 (2003i:57039) Zbl 1015.57020
- [Kuessner2001] T. Kuessner, Relative simplicial volume, PhD thesis, Tübingen, 2001.
- [Kuiper&Terpstra-Keppler1970] N. H. Kuiper and B. Terpstra-Keppler, Differentiable closed embeddings of Banach manifolds, Essays on Topology and Related Topics (Mémoires dédiés à Georges de Rham), Springer (1970), 118–125. MR0264709 (41 #9300) Zbl 0193.24001
- [Kuiper1965] N. H. Kuiper, The homotopy type of the unitary group of Hilbert space, Topology 3 (1965), 19–30. MR0179792 (31 #4034) Zbl 0129.38901
- [Kuroki2009] S. Kuroki, Introduction to GKM theory, Trends in Mathematics (2009).
- [Kühl&Macko&Mole2011] P. Kuehl, T. Macko and A. Mole, The total surgery obstruction revisited, (2011). Available at the arXiv:1104.5092.