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<TABLE CELLSPACING=0 CELLPADDING=0><TR><TD>Preface</TD><TD WIDTH=40></TD><TD VALIGN=TOP>ix</TD><TD></TD></TR><TR><TD>For Liv</TD><TD WIDTH=40></TD><TD VALIGN=TOP>x</TD><TD></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Raoul Bott</TD></TR></TABLE></TD></TR><TR><TD>Invention</TD><TD WIDTH=40></TD><TD VALIGN=TOP>xi</TD><TD></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Raoul Bott</TD></TR></TABLE></TD></TR><TR><TD>Introduction</TD><TD WIDTH=40></TD><TD VALIGN=TOP>1</TD><TD VALIGN=TOP>(8)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>P. Robert Kotiuga</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=20></TD><TD>Montreal, the 1940s, and Mathematical Prehistory</TD></TR></TABLE></TD><TD WIDTH=40></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>My Parents' Montreal Years and Growing Up with Raoul as My Father</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>9</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Candace Bott</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Raoul Bott, McGill, the 1940s</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>13</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Joachim Lambek</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Iron Rings, Doctor Honoris Causa Raoul Bott, Carl Herz, and a Hidden Hand</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>17</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>P. Robert Kotiuga</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>The Bott - Duffin Synthesis of Electrical Circuits</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>33</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>John H. Hubbard</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=20></TD><TD>Early Students and Colleagues</TD></TR></TABLE></TD><TD WIDTH=40></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Raoul Bott as We Knew Him</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>43</TD><TD VALIGN=TOP>(8)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Peter D. Lax</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Friedrich Hirzebruch</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Barry Mazur</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Lawrence Conlon</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Edward B. Curtis</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Harold M. Edwards</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Johannes Huebschmann</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Herbert Shulman</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Working with Raoul Bott: From Geometry to Physics</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>51</TD><TD VALIGN=TOP>(12)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Michael Atiyah</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>The Algorithmic Side of Riemann's Mathematics</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>63</TD><TD VALIGN=TOP>(6)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Harold M. Edwards</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Actions of Lie Groups and Lie Algebras on Manifolds</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>69</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Morris W. Hirsch</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>PDE from the Point of View of Multiplier Ideals</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>79</TD><TD VALIGN=TOP>(18)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Joseph J. Kohn</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Dirac Operator and K-Theory for Discrete Groups</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>97</TD><TD VALIGN=TOP>(12)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Paul Baum</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>The Lefschetz Principle, Fixed Point Theory, and Index Theory</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>109</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>James L. Heitsch</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>A New Look at the Theory of Levels</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>125</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>John Cantwell</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Lawrence Conlon</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>On the Space of Morphisms Between Etale Groupoids</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>139</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Andre Haefliger</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=20></TD><TD>Localization, Equivariance and Outgrowths of Morse Theory and Periodicity</TD></TR></TABLE></TD><TD WIDTH=40></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Raoul Bott as We Knew Him</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>153</TD><TD VALIGN=TOP>(8)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>James A. Bernhard</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Nancy Hingston</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Jim Stasheff</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Victor Guillemin</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Loop Products on Connected Sums of Projective Spaces</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>161</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Nancy Hingston</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Equivariant Cohomology and Reflections</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>177</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>James A. Bernhard</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Connectedness of Level Sets of the Moment Map for Torus Actions on the Based Loop Group</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>181</TD><TD VALIGN=TOP>(4)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Lisa Jeffrey</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Computing Characteristic Numbers Using Fixed Points</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>185</TD><TD VALIGN=TOP>(22)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Loring W. Tu</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>From Minimal Geodesics to Supersymmetric Field Theories</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>207</TD><TD VALIGN=TOP>(70)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Henning Hohnhold</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Stephan Stolz</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Peter Teichner</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=20></TD><TD>Dualities and Interactions with Quantum Field Theory</TD></TR></TABLE></TD><TD WIDTH=40></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Raoul Bott as My Math Teacher</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>277</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Cumrun Vafa</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>A Physics Colloquium at McGill that Changed My Life</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>279</TD><TD VALIGN=TOP>(2)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Steven Lu</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Geometric Langlands from Six Dimensions</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>281</TD><TD VALIGN=TOP>(30)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Edward Witten</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Duality and Equivalence of Module Categories in Noncommutative Geometry</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>311</TD><TD VALIGN=TOP>(30)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Jonathan Block</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Generalized Complex Geometry and T-Duality</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>341</TD><TD VALIGN=TOP>(26)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Gil R. Cavalcanti</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Marco Gualtieri</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Topological Quantum Field Theories from Compact Lie Groups</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>367</TD><TD></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Daniel S. Freed</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Michael J. Hopkins</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Jacob Lurie</TD></TR></TABLE></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=100></TD><TD>Constantin Teleman</TD></TR></TABLE></TD></TR></TABLE>

ix, 403 pages : illustrations, music ; 26 cm.

A celebration of the mathematical legacy of Raoul Bott