The Online Books Page

Surgery (Topology)

See also what's at Wikipedia, your library, or elsewhere.

• Differential topology
• Homotopy equivalences
• Manifolds (Mathematics)
• Topology

• Surgery theory

• Algebraic L-Theory and Topological Manifolds (electronic edition, 2011), by Andrew Ranicki (PDF in the UK)
• Algebraic and Geometric Surgery (electronic edition, 2010), by Andrew Ranicki (PDF in the UK)
• Exact Sequences in the Algebraic Theory of Surgery (1981), by Andrew Ranicki (PDF in the UK)
• High Dimensional Knot Theory (electronic edition, 2010), by Andrew Ranicki (PDF in the UK)
• Surgery on Compact Manifolds (second edition, ca. 1999), by C. T. C. Wall, ed. by Andrew Ranicki (PDF in the UK)

Items below (if any) are from related and broader terms.

• Manifolds of Differentiable Mappings (c1980), by Peter W. Michor (PDF in Austria)

• Elementary Catastrophe Theory (1985), by Peter W. Michor (PDF in Austria)

• Applications of Global Analysis in Mathematical Physics (1974), by Jerrold E. Marsden (PDF files at Caltech)
• The Convenient Setting of Global Analysis, by Andreas Kriegl and Peter W. Michor (PDF in Austria)

• Complexity, Global Politics, and National Security (1997), ed. by David S. Alberts and Thomas J. Czerwinski (PDF at dtic.mil)

• Singularities of Transition Processes in Dynamical Systems: Qualitative Theory of Critical Delays (EJDE monograph #5, 2004), by A. N. Gorban' (PDF with commentary at ams.org)
• Exploring Discrete Dynamics: The DDLab Manual (Frome, UK: Luniver Press, c2011), by Andrew Wuensche (PDF and page images with commentary in the UK)
• Flavors of Geometry (1997), ed. by Silvio Levy (PDF files with commentary at msri.org)
• The Hopf Bifurcation and Its Applications (1976), by Jerrold E. Marsden and Marjorie McCracken (PDF files at Caltech)
• Jacobi Operators and Completely Integrable Nonlinear Lattices, by Gerald Teschl (PDF and other formats in Austria)

• Dynamics of Partial Differential Equations (2004-; all articles more than about 4 years old, and some later articles, free to read) (partial serial archives)

• Even in Chaos: Education in Times of Emergency (New York: Fordham University Press, and Center for International Humanitarian Coooperation, 2010), ed. by Kevin M. Cahill (PDF with commentary at bepress.com)
• The Emperor's Nightingale: Restoring the Integrity of the Corporation in the Age of Shareholder Activism, by Robert A. G. Monks (PDF files at ragm.com)
• Chaotic Logic: Language, Thought and Reality From the Perspective of Complex Systems Science (prepublication version), by Ben Goertzel (HTML at goertzel.org)

• Strange Attractors (c1995), by Jeffrey A. Carver (PDF at starrigger.net)

• Chaos Bound: Orderly Disorder in Contemporary Literature (Ithaca, NY and London: Cornell University Press, c1990), by N. Katherine Hayles (PDF files at Project MUSE)

• HARPA: A Versatile Three-Dimensional Hamiltonian Ray-Tracing Program for Acoustic Waves in the Atmosphere Above Irregular Terrain (Boulder, CO: U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1986), by R. Michael Jones, J. P. Riley, and T. M. Georges (page images at HathiTrust)

• A General Analytical Solution to the Problem of Photogrammetry (declassified report originally distributed from Aberdeen Proving Ground, MD: Ballistic Research Laboratories, 1959), by Hellmut H. Schmid (PDF with commentary at dtic.mil)

• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Noncommutative Geometry, Quantum Fields and Motives (prepublication version, ca. 2008), by Alain Connes and Matilde Marcolli (PDF at alainconnes.org)
• Lectures on Graded Differential Algebras and Noncommutative Geometry, by Michel DuBois-Violette (PDF and other formats at arxiv.org)

• Spinors, Spectral Geometry, and Riemannian Submersions, by Peter B. Gilkey, John V. Leahy, and Jeonghyeong Park (Postscript files at emis.de)

• Surgery on Compact Manifolds (second edition, ca. 1999), by C. T. C. Wall, ed. by Andrew Ranicki (PDF in the UK)
• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (1984), by Peter B. Gilkey (Postscript files at emis.de)

• Exotic Homology Manifolds, Oberwolfach 2003 (prepublication version, ca. 2006), ed. by F. Quinn and Andrew Ranicki (PDF in the UK)

• Manifolds of Differentiable Mappings (c1980), by Peter W. Michor (PDF in Austria)

• High Dimensional Knot Theory (electronic edition, 2010), by Andrew Ranicki (PDF in the UK)

• Comparison Geometry (1997), ed. by Karsten Grove and Peter Petersen (PDF files with commentary at msri.org)
• Spinors, Spectral Geometry, and Riemannian Submersions, by Peter B. Gilkey, John V. Leahy, and Jeonghyeong Park (Postscript files at emis.de)

• Tight and Taut Submanifolds (1997), ed. by T. E. Cecil and Shiing-Shen Chern (PDF files with commentary at msri.org)

• The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds (ca. 1996), ed. by Andrew Ranicki (PDF in the UK)
• Algebraic L-Theory and Topological Manifolds (electronic edition, 2011), by Andrew Ranicki (PDF in the UK)

• Geometric Topology: Localization, Periodicity and Galois Symmetry (The 1970 MIT Notes) (electronic edition, ca. 2005), by Dennis Sullivan, ed. by Andrew Ranicki (PDF in the UK)
• Open Problems in Topology (1990), ed. by J. van Mill and George M. Reed (PDF at Elsevier)
• Functional Analysis and Semi-Groups (New York: American Mathematical Society, 1948), by Einar Hille (multiple formats at archive.org)
• Algebraic Topology (c1942), by Solomon Lefschetz
  • page images at HathiTrust
  • page images at scribd.com
• Analytic Topology (New York: American Mathematical Society, 1942), by Gordon Thomas Whyburn (page images at HathiTrust)
• Topology (American Mathematical Society Colloquium Publications v12; 1930), by Solomon Lefschetz (page images at HathiTrust)

• Algebraic and Geometric Topology (proceedings of a 1983 conference at Rutgers; published 1984), ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)
• Noncommutative Localization in Algebra and Topology (electronic edition, ca. 2006), ed. by Andrew Ranicki (PDF in the UK)

• Topology (full serial archives)
• Algebraic and Geometric Topology (issues more than 5 years old free to read online) (partial serial archives)
• Geometry and Topology (issues more than 5 years old are open access) (partial serial archives)

• Topology: A Categorical Approach (Cambridge, MA: MIT Press, 2020), by Tai-Danae Bradley, Tyler Bryson, and John Terilla (PDF files with commentary at pubpub.org)

• Algebraic Topology (c2002), by Allen Hatcher (PDF files with commentary at Cornell)
• Modern Algebraic Topology (New York, Macmillan; London: Collier-Macmillan, c1963), by D. G. Bourgin (page images at HathiTrust)
• A Concise Course in Algebraic Topology (electronic edition, with errata corrected), by J. Peter May (PDF at Chicago)

More items available under broader and related terms at left.