## Topology, Geometry, and Algebra: Interactions and New Directions : Conference on Algebraic Topology in Honor of R. James Milgram, August 17-21, 1999, Stanford University (Google eBook)Alejandro Adem, Gunnar Carlsson, Ralph L. Cohen This volume presents the proceedings from the conference on ''Topology, Geometry, and Algebra: Interactions and New Directions'' held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications. Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgerytheory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

A renormalized RiemannRoch formula and the Thom isomorphism for the free loop space | 11 |

for 𝑆𝑝𝑖𝑛2𝑛 + 1 | 37 |

CANT READ EXPONENT Homologically exotic free actions on products of 5 | 57 |

Surgery formulae for analytical invariants of manifolds | 73 |

On genus one mapping class groups function spaces and modular forms | 103 |

Poincaré duality and deformations of algebras | 129 |

An analog of the MayMilgram Model for configurations with multiplicities | 135 |

Configuration spaces and the topology of curves in projective space | 151 |

Quantum methods in algebraic topology | 177 |

Adiabatic limits and foliations | 195 |

Legendrian links of topological unknots | 209 |

Algebraic Poincaré cobordism | 213 |

### Common terms and phrases

4-module chain complex abelian group action basepoint bordism boundary braided chain bundle chain complex chain map cobordism coefficients commutative configuration space configuration space degree connected construction Corollary corresponding defined denote differential graded dimension Dirac operator elliptic equivalence classes equivariant exact sequence fc-module fibration finite dimensional foliations follows formal group formula function functor geometric given graded algebra hence homology homomorphism homotopy equivalence homotopy groups homotopy type hyperquadratic induced integer invariant L-groups Legendrian Lemma linear loop space manifolds map f mapping class groups Math Mathematics metric and perturbation Milgram module moduli space morphism multiplicative n-dimensional symmetric pairs perturbation data Poincare complex Poincare duality polynomial proof Proposition Qn(C quadratic quotient resp result Riemannian ring satisfies Poincare duality scalar curvature Seiberg-Witten simplicial spectral flow spectral sequence sphere splitting structure subgroup surgery theorem topology trivial v+(K vector bundle vector space Wu classes zero