Manifold Atlas:Bibliography 'A'
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A
- [Adachi1993] M. Adachi, Embeddings and immersions, Translated from the Japanese by Kiki Hudson. Translations of Mathematical Monographs, 124. Providence, RI: American Mathematical Society (AMS), 1993. MR1225100 (95a:57039) Zbl 0810.57001
- [Adams1958] J. F. Adams, On the nonexistence of elements of Hopf invariant one, Bull. Amer. Math. Soc. 64 (1958), 279–282. MR0097059 (20 #3539) Zbl 0178.26106
- [Adams1960] J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20–104. MR0141119 (25 #4530) Zbl 0096.17404
- [Adams1966] J. F. Adams, On the groups . IV, Topology 5 (1966), 21–71. MR0198470 (33 #6628) Zbl 0145.19902
- [Adams1968] J. F. Adams, Correction to: ``On the groups . IV, Topology 7 (1968), 331. MR0230312 (37 #5874)
- [Adams1974] J. F. Adams, Stable homotopy and generalised homology, University of Chicago Press, Chicago, Ill., 1974. MR0402720 (53 #6534) Zbl 0309.55016
- [Adem&Davis2002] A. Adem and J. F. Davis, Topics in transformation groups, North-Holland, 2002. MR1886667 (2003f:57069) Zbl 0997.57002
- [Ahlfors&Sario1960] L. V. Ahlfors and L. Sario, Riemann surfaces, Princeton University Press, Princeton, N.J., 1960. MR0114911 (22 #5729) Zbl 0508.01017
- [Ajala1984] S. O. Ajala, Differentiable structures on products of spheres, Houston J. Math. 10 (1984), no.1, 1–14. MR736571 (85c:57032) Zbl 0547.57026
- [Ajala1987] S. O. Ajala, Differentiable structures on a generalized product of spheres, Internat. J. Math. Math. Sci. 10 (1987), no.2, 217–226. MR886378 (88j:57028) Zbl 0627.57022
- [Akbulut&McCarthy1990] S. Akbulut and J. D. McCarthy, Casson's invariant for oriented homology -spheres, Princeton University Press, Princeton, NJ, 1990. MR1030042 (90k:57017) Zbl 0695.57011
- [Akbulut&Yasui2012] S. Akbulut and K. Yasui, Gluck twisting 4-manifolds with odd intersection form, (2012). Available at the arXiv:1205.6038.
- [Akbulut1988] S. Akbulut, Constructing a fake -manifold by Gluck construction to a standard -manifold, Topology 27 (1988), no.2, 239–243. MR948185 (89j:57014) Zbl 0649.57011
- [Akbulut1999] S. Akbulut, Scharlemann's manifold is standard, Ann. of Math. (2) 149 (1999), no.2, 497–510. MR1689337 (2000d:57033) Zbl 0931.57016
- [Akbulut2010] S. Akbulut, Cappell-Shaneson homotopy spheres are standard, Ann. of Math. (2) 171 (2010), no.3, 2171–2175. MR2680408 (2011i:57024) Zbl 1216.57017
- [Akin1969] E. Akin, Manifold phenomena in the theory of polyhedra, Trans. Amer. Math. Soc. 143 (1969), 413–473. MR0253329 (40 #6544) Zbl 0195.53702
- [Alexander&Hamrick&Vick1976] J. P. Alexander, G. C. Hamrick and J. W. Vick, Linking forms and maps of odd prime order, Trans. Amer. Math. Soc. 221 (1976), no.1, 169–185. MR0402786 (53 #6600) Zbl 0357.57009
- [Alexander1915] J. W. Alexander II, A proof of the invariance of certain constants of analysis situs, American M. S. Trans. 16 (1915), 148-154. MR1501007Zbl 45.0728.07
- [Alexander1919] J. W. Alexander, Note on two three dimensional manifolds with the same group, Trans. Amer. Math. Soc. 20 (1919), 339-342. MR1501131 Zbl 47.0964.01
- [Alexander1924] J. W. Alexander, On the subdivision of 3-space by polyhedron, Proc. Nat. Acad. Sci. USA, 10, (1924) 6–8. Zbl 50.0659.01
- [Alexander1924a] J. W. Alexander, New topological invariants expressible as tensors., Nat. Acad. Proc. 10 (1924), 99-101. Zbl 50.0659.02
- [Amann&Dessai2010] M. Amann and A. Dessai, The -genus of -manifolds with finite second homotopy group, C. R. Math. Acad. Sci. Paris 348 (2010), no.5-6, 283–285. MR2600123 () Zbl 1198.53047
- [Anderson&Bing1968] R. D. Anderson and R. H. Bing, A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc. 74 (1968), 771–792. MR0230284 (37 #5847) Zbl 0189.12402
- [Anderson&Brown&Peterson1966] D. W. Anderson, E. H. Brown and F. P. Peterson, Spin cobordism, Bull. Amer. Math. Soc. 72 (1966), 256–260. MR0190939 (32 #8349) Zbl 0156.21605
- [Anderson&Brown&Peterson1966a] D. W. Anderson, E. H. Brown and F. P. Peterson, -cobordism, -characteristic numbers, and the Kervaire invariant, Ann. of Math. (2) 83 (1966), 54–67. MR0189043 (32 #6470) Zbl 0137.42802
- [Anderson&Brown&Peterson1967] D. W. Anderson, E. H. Brown and F. P. Peterson, The structure of the Spin cobordism ring, Ann. of Math. (2) 86 (1967), 271–298. MR0219077 (36 #2160) Zbl 0156.21605
- [Ando&Hopkins&Strickland2001] M. Ando, M. J. Hopkins and N. P. Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001), no.3, 595–687. MR1869850 (2002g:55009) Zbl 1031.55005
- [Ando&Hopkins&Strickland2001a] M. Ando, M. J. Hopkins and N. P. Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001), no.3, 595–687. MR1869850 (2002g:55009) Zbl 1031.55005
- [Antonelli&Burghelea&Kahn1970] P. Antonelli, D. Burghelea and P. J. Kahn, Gromoll groups, and bilinear constructions of exotic spheres, Bull. Amer. Math. Soc. 76 (1970), 772–777. MR0283809 (44 #1039) Zbl 0195.53303
- [Appl1999] M. Appl, Ammonia: principles and industrial practice, Wiley-VCH Weinheim, Germany, 1999.
- [Arabia1989] A. Arabia, Cohomologie -équivariante de la variété de drapeaux d'un groupe de Kac-Moody, Bull. Soc. Math. France 117 (1989), 129–165. MR1015806 (90i:32042) Zbl 0706.57024
- [Arkowitz&Lupton2000] M. Arkowitz and G. Lupton, Rational obstruction theory and rational homotopy sets, Math. Z. 235 (2000), no.3, 525–539. MR1800210 (2001h:55012) Zbl 0968.55005
- [Arnold&Varchenko&Gusein-Zade1985] V.I. Arnold, A. Varchenko, S.M. Gusein-Zade, Singularities of Differentiable Maps, Volume I: The Classification of Critical Points Caustics and Wave Fronts, Springer, 1985.
- [Arone&Krushkal2021] G. Arone, V. Krushkal, Embedding obstructions in from the Goodwillie-Weiss calculus and Whitney disks, arxiv preprint.
- [Arone&Turchin2014] G. Arone and V. Turchin, On the rational homology of high-dimensional analogues of spaces of long knots, Geom. and Topol. 18 (2014), 1261-1322.
- [Artin1928] E. Artin, Zur Isotopie zwei-dimensionaler Flaechen im , Abh. Math. Sem. Hamburg Univ. 4 (1928) 174–177.
- [Arzhantseva&Delzant2008] G. Arzhantseva and T. Delzant, Examples of random groups, preprint (2008).
- [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) Zbl 1072.14063
- [Atiyah&Bott&Shapiro1964] M. F. Atiyah, R. Bott and A. Shapiro, Clifford modules, Topology 3 (1964), suppl. 1, 3–38. MR0167985 (29 #5250) Zbl 0146.19001
- [Atiyah&Bott1967] M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I, Ann. of Math. (2) 86 (1967), 374–407. MR0212836 (35 #3701) Zbl 0161.43201
- [Atiyah&Bott1968] M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. II. Applications, Ann. of Math. (2) 88 (1968), 451–491. MR0232406 (38 #731) Zbl 0167.21703
- [Atiyah&Hirzebruch1961] M. F. Atiyah and F. Hirzebruch, Cohomologie-Operationen und charakteristische Klassen, Math. Z. 77 (1961), 149–187. MR0156361 (27 #6285) Zbl 0109.16002
- [Atiyah&Segal1968] M. F. Atiyah and G. B. Segal, The index of elliptic operators. II, Ann. of Math. (2) 87 (1968), 531–545. MR0236951 (38 #5244) Zbl 0164.24201
- [Atiyah&Singer1968] M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, Ann. of Math. (2) 87 (1968), 484–530. MR0236950 (38 #5243) Zbl 0164.24001
- [Atiyah&Singer1968b] M. F. Atiyah and I. M. Singer, The index of elliptic operators. III, Ann. of Math. (2) 87 (1968), 546–604. MR0236952 (38 #5245) Zbl 0164.24301
- [Atiyah1961] M. F. Atiyah, Bordism and cobordism, Proc. Camb. Philos. Soc. 57 (1961), 200-208. MR0126856 (23 #A4150) Zbl 0104.17405
- [Atiyah1968] M. F. Atiyah, Bott periodicity and the index of elliptic operators, Quart. J. Math. Oxford Ser. (2) 19 (1968), 113–140. MR0228000 (37 #3584) Zbl 0159.53501
- [Atiyah1970] M. F. Atiyah, Global theory of elliptic operators, (1970), 21–30. MR0266247 (42 #1154) Zbl 0193.43601
- [Atiyah1990] M. F. Atiyah, The geometry and physics of knots, Cambridge University Press, 1990. MR1078014 (92b:57008) Zbl 0729.57002
- [Averbuh1959] B. G. Averbuh, Algebraic structure of cobordism groups, Dokl. Akad. Nauk SSSR 125 (1959), 11–14. MR0124894 (23 #A2204)
- [Avramidi&Nguyen Phan2021] G. Avramidi, T. Tam Nguyen Phan, Fungible obstructions to embedding 2-complexes, arxiv preprint.
- [Avvakumov&Mabillard&Wagner&Skopenkov2015] S. Avvakumov, I. Mabillard, A. Skopenkov and U. Wagner. Eliminating Higher-Multiplicity Intersections, III. Codimension 2, Israel J. Math. (2021). arxiv preprint.
- [Avvakumov2016] S. Avvakumov, The classification of certain linked 3-manifolds in 6-space, Moscow Mathematical Journal, 16:1 (2016) 1-25. http://arxiv.org/abs/1408.3918.
- [Avvakumov2017] S. Avvakumov, The classification of linked 3-manifolds in 6-space, Algebraic & Geometric Topology, to appear. arxiv preprint.
- [Azagra&Cepedello Boiso2004] D. Azagra and M. Cepedello Boiso, Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds, Duke Math. J. 124 (2004), no.1, 47–66. MR2072211 (2005h:57037) Zbl 1060.57015