Manifold Atlas:Bibliography 'S'

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This page lists all bibliography entries whose first author name begins with 'S'.

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S

[Saeki1999] O. Saeki, On punctured 3-manifolds in 5-sphere, Hiroshima Math. J. 29 (1999) 255--272, MR1704247 (2000h:57045)

[Sako1981] Y. Sako, Connected sum along the cycle operation of $\newcommand{\Z}{\mathbb{Z}} \newcommand{\R}{\mathbb{R}} \newcommand{\C}{\mathbb{C}} \newcommand{\N}{\mathbb{N}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\F}{\mathbb{F}} \newcommand{\bZ}{\mathbb{Z}} \newcommand{\bR}{\mathbb{R}} \newcommand{\bC}{\mathbb{C}} \newcommand{\bH}{\mathbb{H}} \newcommand{\bQ}{\mathbb{Q}} \newcommand{\bF}{\mathbb{F}} \newcommand{\bN}{\mathbb{N}} \DeclareMathOperator\id{id} % identity map \DeclareMathOperator\Sq{Sq} % Steenrod squares \DeclareMathOperator\Homeo{Homeo} % group of homeomorphisms of a topoloical space \DeclareMathOperator\Diff{Diff} % group of diffeomorphisms of a smooth manifold \DeclareMathOperator\SDiff{SDiff} % diffeomorphism under some constraint \DeclareMathOperator\Hom{Hom} % homomrphism group \DeclareMathOperator\End{End} % endomorphism group \DeclareMathOperator\Aut{Aut} % automorphism group \DeclareMathOperator\Inn{Inn} % inner automorphisms \DeclareMathOperator\Out{Out} % outer automorphism group \DeclareMathOperator\vol{vol} % volume \newcommand{\GL}{\text{GL}} % general linear group \newcommand{\SL}{\text{SL}} % special linear group \newcommand{\SO}{\text{SO}} % special orthogonal group \newcommand{\O}{\text{O}} % orthogonal group \newcommand{\SU}{\text{SU}} % special unitary group \newcommand{\Spin}{\text{Spin}} % Spin group \newcommand{\RP}{\Rr\mathrm P} % real projective space \newcommand{\CP}{\Cc\mathrm P} % complex projective space \newcommand{\HP}{\Hh\mathrm P} % quaternionic projective space \newcommand{\Top}{\mathrm{Top}} % topological category \newcommand{\PL}{\mathrm{PL}} % piecewise linear category \newcommand{\Cat}{\mathrm{Cat}} % any category \newcommand{\KS}{\text{KS}} % Kirby-Siebenmann class \newcommand{\Hud}{\text{Hud}} % Hudson torus \newcommand{\Ker}{\text{Ker}} % Kernel \newcommand{\underbar}{\underline} %Classifying Spaces for Families of Subgroups \newcommand{\textup}{\text} \newcommand{\sp}{^}S^p \times \tilde S^{n-p}$ on $\pi$ -manifolds, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), no.10, 499–502. MR640259 (83a:57043) Zbl 0505.57010
[Sarkaria1996] K. S. Sarkaria, A look back at Poincaré's ``Analysis situs´´, in: Henri Poincaré: science et philosophie (Nancy, 1994), Akademie Verlag (1996), 251–258. MR1384996 (97f:01020) Zbl 0851.01003
[Sarkaria1999] K. S. Sarkaria, The topological work of Henri Poincaré, History of topology, 123–167, North-Holland, Amsterdam, 1999. MR674912 (000m:57001) Zbl 0959.54002
[Scharlemann1977] M. Scharlemann, Isotopy and cobordism of homology spheres in spheres., J. Lond. Math. Soc., II. Ser. 16 (1977), 559-567. MRMR0464246 (57 #4180) Zbl 0375.57003
[Schmidt1971] R. Schultz, On the inertia groups of a product of spheres, Trans. AMS, 156 (1971), 137–153.
[Schmitt2002] A. Schmitt, On the classification of certain piecewise linear and differentiable manifolds in dimension eight and automorphisms of $\#_{i=1}^b(S^2\times S^5)$ , Enseign. Math. (2) 48 (2002), no.3-4, 263–289.
[Schoen&Yau1979] R. Schoen and S. T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), no.1-3, 159–183. MR535700 (80k:53064) Zbl 0423.53032
[Scholz1980] E. Scholz, Die Geschichte des Mannigfaltigkeitsbegriffs von Riemann bis Poincaré, Birkhäuser, Basel/Boston, (1980). MR0631524 (83h:58001) Zbl 0438.01004
[Scholz1999] E. Scholz, The concept of manifold, 1850--1950, History of topology, North-Holland (1999), 25–64. MR1674908 (2000k:57001) Zbl 0956.57002
[Schommer-Pries2009] C. Schommer-Pries, Central Extensions of Smooth 2-Groups and a Finite-Dimensional String 2-Group, (2009). Available at the arXiv:0911.2483.
[Schultz1972] R. Schultz, Composition constructions on diffeomorphisms of $S^p\times S^q$ , Pacific J. Math. 42 (1972), 739–754. MR0315731 (47 #4280) Zbl 0213.50002
[Schultz1987] R. Schultz, Homology spheres as stationary sets of circle actions, Mich. Math. J. 34 (1987), 183-200. MR0894870 (88h:57038) Zbl 0698.57012
[Schwarzschild1900] K. Schwarzschild, Ueber das zulässige Krümmungsmass des Raumes., Vierteljahrsschr. Astr. Ges. 35, (1900), 337-347. Zbl 31.0892.06
[Scorpan2005] A. Scorpan, The wild world of 4-manifolds, American Mathematical Society, 2005. MR2136212 (2006h:57018) Zbl 1075.57001
[Scott1983] P. Scott, The geometries of $3$ -manifolds, Bull. London Math. Soc. 15 (1983), no.5, 401–487. MR705527 (84m:57009) Zbl 0662.57001
[Segal&Skopenkov&Spiez1998] J. Segal, A. Skopenkov and S. Spie\. z, Embeddings of polyhedra in $\R^m$ and the deleted product obstruction, Topol. Appl. 85 (1998), 225-234.
[Segal1988] G. Segal, Elliptic cohomology (after Landweber-Stong, Ochanine, Witten, and others), Séminaire Bourbaki, Vol. 1987/88, Astérisque No. 161-162 (1988), Exp. No. 695, 4, (1989) 187–201. MR992209 (91b:55005) Zbl 0686.55003
[Seifert&Threlfall1934] H. Seifert and W. Threlfall, Lehrbuch der Topologie, Leipzig und Berlin: B. G. Teubner. VII, 1934. Zbl 0009.08601
[Seifert&Threlfall1980] Seifert, Herbert; Threlfall, William (1980), Goldman, Michael A.; Birman, Joan S. (eds.), Seifert and Threlfall: a textbook of topology, Pure and Applied Mathematics, 89, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-634850-7 MR0575168
[Seifert1931] H. Seifert, Konstruktion dreidimensionaler geschlossener Räume, Ber. Verh. Sächs. Akad. Leipzig 83 (1931) 26-66. Zbl 0002.16001
[Seifert1932] H. Seifert, Topologie dreidimensionaler gefaserter Räume, Acta Math. 60 (1933), 147–238. MR1555366 Zbl 0006.08304
[Seifert1933] H. Seifert, Verschlingungsinvarianten, Sitzungsber. Preuß. Akad. Wiss., Phys.-Math. Kl. 1933, No.26-29, (1933) 811-828. Zbl 0008.18101
[Seifert1933a] H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no.1, 147–238. MR1555366 Zbl 0006.08304
[Seifert1933b] H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no.1, 147–238. MR1555366 () Zbl 0006.08304
[Serre1951] J. Serre, Homologie singulière des espaces fibrès. Applications, Ann. of Math. (2) 54 (1951), 425–505. MR0045386 (13,574g) Zbl 0045.26003
[Serre1970] J. Serre, Cours d'arithmétique, Presses Universitaires de France, Paris, 1970. MR0255476 (41 #138) Zbl 0432.10001
[Shimada1957] N. Shimada, Differentiable structures on the 15-sphere and Pontrjagin classes of certain manifolds, Nagoya Math. J. 12 (1957), 59–69. MR0096223 (20 #2715) Zbl 0145.20303
[Skopenkov&Tancer2017] A. Skopenkov and M. Tancer. Hardness of almost embedding simplicial complexes in $\R^d$ , Discr. Comp. Geom., 61:2 (2019), 452--463. arxiv preprint.
[Skopenkov1997] A. Skopenkov, On the deleted product criterion for embeddability of manifolds in $\Rr^m$ , Comment. Math. Helv. 72 (1997), 543-555.
[Skopenkov2000] A. Skopenkov, On the generalized Massey-Rolfsen invariant for link maps, Fund. Math. 165 (2000), 1-15.
[Skopenkov2002] A. Skopenkov, On the Haefliger-Hirsch-Wu invariants for embeddings and immersions., Comment. Math. Helv. 77 (2002), no.1, 78-124. MRMR1898394 (2003c:57023) Zbl 1012.57035
[Skopenkov2003] M. Skopenkov, Embedding products of graphs into Euclidean spaces, Fund. Math. 179 (2003) 191-198. arxiv preprint.
[Skopenkov2005] A. Skopenkov, A classification of smooth embeddings of 4-manifolds in 7-space, Topol. Appl., 157 (2010) 2094-2110. Available at the arXiv:0512594.
[Skopenkov2006] A. Skopenkov, Embedding and knotting of manifolds in Euclidean spaces, in: Surveys in Contemporary Mathematics, Ed. N. Young and Y. Choi, London Math. Soc. Lect. Notes, 347 (2008) 248-342. Available at the arXiv:0604045.
[Skopenkov2006a] A. Skopenkov, Classification of embeddings below the metastable dimension. Available at the arXiv:0607422.
[Skopenkov2006b] M. Skopenkov, A formula for the group of links in the 2-metastable dimension, arxiv:math/0610320v1
[Skopenkov2007] A. Skopenkov, A new invariant and parametric connected sum of embeddings, Fund. Math. 197 (2007), 253–269. arXiv:math/0509621. MR2365891 (2008k:57044) Zbl 1145.57019
[Skopenkov2008] A. Skopenkov, A classification of smooth embeddings of 3-manifolds in 6-space, Math. Z. 260 (2008), no.3, 647–672. Available at the arXiv:0603429 MR2434474 (2010e:57028) Zbl 1167.57013

[Skopenkov2009] M. Skopenkov, Suspension theorems for links and link maps. Proc. AMS 137 (2009) 359--369. arxiv:math/0610320, version 2 or higher
[Skopenkov2010] A. Skopenkov, Embeddings of k-connected n-manifolds into $\Rr^{2n-k-1}$ , Proc. AMS, 138 (2010) 3377--3389. Available at the arXiv:0812.0263.
[Skopenkov2012] A. Skopenkov, Algebraic Topology From Algorithmic Standpoint, draft of a book (partly in Russian)
[Skopenkov2014] A. Skopenkov, How do autodiffeomorphisms act on embeddings, Proc. A of the Royal Society of Edinburgh, 148:4 (2018) 835--848.
[Skopenkov2014a] A. Skopenkov, Realizability of hypergraphs and Ramsey link theory. arxiv preprint.
[Skopenkov2015] M. Skopenkov, When is the set of embeddings finite up to isotopy? Intern. J. Math. 26:7 (2015), http://arxiv.org/abs/1106.1878
[Skopenkov2015a] A. Skopenkov, A classification of knotted tori, Proc. A of the Royal Society of Edinburgh, 150:2 (2020), 549-567. Full version: http://arxiv.org/abs/1502.04470