Manifold Atlas: Bibliography

• The current bibliography is listed under: A B C E F G H J K L M S T W Z.

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1 A

• [Ahlfors&Sario1960] L. V. Ahlfors and L. Sario, Riemann surfaces, Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960. MR0114911 (22 #5729)

• [Antonelli&Burghelea&Kahn1970] P. Antonelli, D. Burghelea and P. J. Kahn, Gromoll groups, $\Diff(S^n)$$\Diff(S^n)$ and bilinear constructions of exotic spheres, Bull. Amer. Math. Soc. 76 (1970), 772–777. MR0283809 (44 #1039)
• [Astey&Gitler&Micha&Pastor2003] L. Astey, S. Gitler, E. Micha and G. Pastor, On the homotopy type of complete intersections, Topology 44 (2005), no. 1, 249–260. MR2104011 (2005i:14058)

2 B

• [Barden1965] D. Barden, Simply-connected five-manifolds, Ann. of Math. (2) 82 (1965), 365–385. MR184241 (32 #1714)

• [Baues&Buth1996] H. J. Baues and J. Buth, On the group of homotopy equivalences of simply connected five manifolds, Math. Z. 222 (1996), no. 4, 573–614. MR1406269 (97g:55009)

• [Boyer&Galicki2006] C. P. Boyer and K. Galicki, Highly connected manifolds with positive Ricci curvature, Geom. Topol. 10 (2006) 2219–2235. MR2284055 (2007k:53057)

• [Brieskorn&Knörrer1986] Egbert Brieskorn and Horst Knörrer, Plane algebraic curves, Birkhäuser Verlag, Basel, 1986. MR886476 (88a:14001)

• [Brumfiel1968] G. Brumfiel, On the homotopy groups of ${BPL}$${BPL}$ and ${PL/O}$${PL/O}$, Ann. of Math. (2) 88 (1968), 291–311. MR0234458 (38 #2775)
• [Brumfiel1969] G. Brumfiel, On the homotopy groups of $BPL$$BPL$ and $PL/O$$PL/O$. II, Topology 8 (1969), 305–311. MR0248830 (40 #2080)
• [Burghelea&Lashof1974] D. Burghelea and R. Lashof, The homotopy type of the space of diffeomorphisms. I, II, Trans. Amer. Math. Soc. 196 (1974), 1–36; ibid. 196 (1974), 37–50. MR0356103 (50 #8574)
• [Burghelea&Lashof1982] D. Burghelea and R. Lashof, Geometric transfer and the homotopy type of the automorphism groups of a manifold, Trans. Amer. Math. Soc. 269 (1982), no.1, 1–38. MR637027 (83c:57016)

3 C

• [Cerf1970] J. Cerf, La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Inst. Hautes Études Sci. Publ. Math. No. 39 (1970), 5–173. MR0292089 (45 #1176)

• [Choi&Masuda&Suh2008] S. Choi, D. Masuda and D. Y. Suh, Topological classification of generalized Bott towers, (2008). Available at the arXiv:0807.4334.

4 E

• [Ebeling1990] W. Ebeling, An example of two homeomorphic, nondiffeomorphic complete intersection surfaces, Invent. Math. 99 (1990), no. 3, 651–654. MR1032884 (91c:57038)

5 F

• [Fang&Klaus1996] F. Fang and S. Klaus, Topological classification of 4-dimensional complete intersections, Manuscripta Math. 90 (1996), no. 2, 139–147. MR1391206 (97g:57046)

• [Fang1997] F. Fang, Topology of complete intersections, Comment. Math. Helv. 72 (1997), no.3, 466–480. MR1476060 (8k:14071)

• [Freedman1982] M. H. Freedman, The topology of four-dimensional manifolds, J. Diff. Geom. 17 (1982), no. 3, 357–453. MR0679066 (84b:57006)

6 G

• [Gromoll1966] D. Gromoll, Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären, Math. Ann. 164 (1966), 353–371. MR0196754 (33 #4940)

7 H

• [Hirsch1994] M. W. Hirsch, Differential topology, Graduate Texts in Mathematics, vol. 33, Springer-Verlag, New York, 1994. Corrected reprint of the 1976 original. MR1336822 (96c:57001)

• [Hirzebruch1951] F. Hirzebruch, Über eine Klasse von einfachzusammenhängenden komplexen Mannigfaltigkeiten, Math. Ann. 124 (1951) 77–86. MR0045384 (13,574e)

• [Hitchin1974] N. Hitchin, Harmonic spinors, Advances in Math. 14 (1974), 1–55. MR0358873 (50 #11332)
• [Hoo&Mahowald1965] C. S. Hoo and M. E. Mahowald, Some homotopy groups of Stiefel manifolds, Bull. Amer. Math. Soc. 71 (1965), 661–667. MR0177412 (31 #1675)
• [Hsiang&Levine&Szczarba1965] W. Hsiang, J. Levine and R. H. Szczarba, On the normal bundle of a homotopy sphere embedded in Euclidean space, Topology 3 (1965), 173–181. MR0175138 (30 #5323)

8 J

• [Jupp1973] P. E. Jupp, Classification of certain 6-manifolds, Proc. Cambridge Philos. Soc. 73 (1973) 293–300. MR0314074 (47 #2626)

9 K

• [Kervaire&Milnor1961] M. A. Kervaire and J. W. Milnor, On $2$$2$-spheres in $4$$4$-manifolds, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1651–1657. MR0133134 (24 #A2968)
• [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)

• [Kervaire1960] M. A. Kervaire, Some nonstable homotopy groups of Lie groups, Illinois J. Math. 4 (1960), 161–169. MR0113237 (22 #4075)
• [Kreck&Lück2005] M. Kreck and W. Lück, The Novikov conjecture, Birkhäuser Verlag, Basel, 2005. MR2117411 (2005i:19003)
• [Kreck&Lück2009] M. Kreck and W. Lück, Topological rigidity for non-aspherical manifolds, Pure Appl. Math. Q. 5 (2009), no.3, 873–914. MR2532709 ()
• [Kreck&Stolz1991] M. Kreck and S. Stolz, Some nondiffeomorphic homeomorphic homogeneous $7$$7$-manifolds with positive sectional curvature, J. Differential Geom. 33 (1991), no.2, 465–486. MR1094466 (92d:53043)
• [Kreck1999] M. Kreck, Surgery and duality, Ann. of Math. (2) 149 (1999), no. 3, 707–754. MR1709301 (2001a:57051)

10 L

• [Libgober&Wood1982] A. S. Libgober and J. W. Wood, Differentiable structures on complete intersections. I, Topology 21 (1982), no. 4, 469–482. MR0670748 (84a:57037)

• [Libgober&Wood1990] A. S. Libgober and J. W. Wood, Uniqueness of the complex structure on Kähler manifolds of certain homotopy types, J. Diff. Geom. 32 (1990), no. 1, 139–154. MR1064869 (91g:32039)

11 M

• [Massey1977] W. S. Massey, Algebraic topology: an introduction, Graduate Texts in Mathematics, vol. 56, Springer-Verlag, New York, 1977. Reprint of the 1967 edition. MR0448331 (56 #6638)

• [Milnor&Stasheff1974] J. W. Milnor and J. D. Stasheff, Characteristic classes, Ann. of Math. Stud., No. 76. Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR0440554 (55 #13428)

• [Moise1977] E. E. Moise, Geometric topology in dimensions 2 and 3, Graduate Texts in Mathematics, vol. 47, Springer-Verlag, New York, 1977. MR0488059 (58 #7631)

• [Müllner2009] Daniel Müllner, Orientation reversal of manifolds. Preprint, (2009). Available at the arXiv:0907.5283.

12 S

• [Smale1962] S. Smale, On the structure of 5-manifolds, Ann. of Math. (2) 75 (1962), 38–46. MR0141133 (25#4544)

• [Smale1962a] S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962) 387–399. MR0153022 (27 #2991)

• [Stöcker1982] R. Stöcker, On the structure of 5-dimensional Poincaré duality spaces, Comment. Math. Helv. 57 (1982), no. 3, 481–510. MR0689075 (85b:57022)

13 T

• [Thomas1986] C. B. Thomas, Contact structures on (n-1)-connected (2n + 1)-manifolds, Geometric and algebraic topology, Banach Center Publ., 18, PWN, Warsaw, (1986) 255–270. MR925869 (89b:53047)

14 W

• [Wall1962] C. T. C. Wall, Killing the middle homotopy groups of odd dimensional manifolds, Trans. Amer. Math. Soc. 103 (1962), 421–433. MR0139185 (25#2621)

• [Wall1963] C. T. C. Wall, Quadratic forms on finite groups, and related topics, Topology 2 (1963) 281–298. MR0156890 (28#133)

• [Wall1964] C. T. C. Wall, Diffeomorphisms of 4-manifolds, J. Lond. Math. Soc. 39 (1964) 131–140. MR0163323 (29 #626)

• [Wall1966] C. T. C. Wall, Classification problems in differential topology V. On certain 6-manifolds, Invent. Math. 1 (1966), 355–374. MR0215313 (35 #6154)

• [Wall1966a] C. T. C. Wall, Classification problems in differential topology. IV. Thickenings, Topology 5 (1966), 73–94. MR0192509 (33 #734)
• [Wall1967] C. T. C. Wall, Classification problems in differential topology. VI. Classification of $(s-1)$$(s-1)$-connected $(2s+1)$$(2s+1)$-manifolds, Topology 6 (1967), 273–296. MR0216510 (35 #7343)

15 Z

• [Zhubr2001] A. V. Zhubr, On a paper of Barden, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 279 (2001), Geom. i Topol. 6, 70–88, 247; translation in J. Math. Sci. (N. Y.) 119 (2004), no. 1, 35–44. MR1846073 (2002e:57040)