The Online Books Page

Index theorems

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

• Differential operators
• Global analysis (Mathematics)
• Index theory (Mathematics)
• Manifolds (Mathematics)

• Atiyah-Singer index theorem

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

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

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

• Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds With Boundary (1984), by Victor Ivrii (DjVu at Toronto)

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

• 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)

• 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)

• 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)

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

• 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)

• 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)

• 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)