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The stable moduli space of Riemann surfaces: Mumford's conjecture

D.Mumford conjectured in (30) that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra generated by certain classes i of di- mension 2i. For the purpose of… Expand

The homotopy type of the cobordism category

- Søren Galatius, I. Madsen, U. Tillmann, M. Weiss
- Mathematics
- 10 May 2006

The embedded cobordism category under study in this paper generalizes the category of conformal surfaces, introduced by G. Segal in [S2] in order to formalize the concept of field theories. Our main… Expand

Embeddings from the point of view of immersion theory

- T. Goodwillie, M. Weiss
- Philosophy
- 28 May 1999

Let M and N be smooth manifolds. For an open V ⊂ M let emb(V,N) be the space of embeddings from V to N . By the results of Goodwillie [4], [5], [6] and Goodwillie–Klein [7], the cofunctor V 7→… Expand

A parametrized index theorem for the algebraicK-theory Euler class

- W. Dwyer, M. Weiss, B. Williams
- Mathematics
- 1 March 2003

A Riemann–Roch theorem is a theorem which asserts that some algebraically defined wrong–way map in K –theory agrees or is compatible with a topologically defined one [BFM]. Bismut and Lott [BiLo]… Expand

Embeddings from the point of view of immersion theory: Part II

- M. Weiss
- Mathematics
- 28 May 1999

Let M and N be smooth manifolds without boundary. Immersion theory suggests that an understanding of the space of smooth embeddings emb(M,N) should come from an analysis of the cofunctor V |-->… Expand

Manifold calculus and homotopy sheaves

- Pedro Boavida de Brito, M. Weiss
- Mathematics
- 6 February 2012

Manifold calculus is a form of functor calculus concerned with functors from some category of manifolds to spaces. A weakness in the original formulation is that it is not continuous in the sense… Expand

Excision and restriction in controlled K-theory

- M. Weiss
- Mathematics
- 29 January 2002

The main result is a description in terms of controlled algebra/topology of the locally finite homology theory associated with the algebraic K–theory spectrum of a ring or the algebraic K–theory… Expand

Automorphisms of Manifolds and Algebraic K-Theory: I

- M. Weiss, B. Williams
- Mathematics
- 1 November 1988

We investigate the homotopy type ofTOP(M)/TOP(M), where M is a compact manifold, TOP(M) is the simplicial group of homeomorphisms of M which restrict to the identity on 0M, and TO'-'~P(M) is the… Expand

Calculus of embeddings

- M. Weiss
- Mathematics
- 1 April 1996

Let M and N be smooth manifolds, where M ⊂ N and dim(N)− dim(M) ≥ 3. A disjunction lemma for embeddings proved recently by Goodwillie leads to a calculation up to extension problems of the base point… Expand

Visible L-theory

- M. Weiss
- Mathematics
- 1992

The visible Symmetrie L-groups enjoy roughly the same formal properties s the Symmetrie L-groups of Mishchenko and Ranicki. For a fixed fundamental group π, there is a long exact sequence involving… Expand

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