Skip to search formSkip to main contentSkip to account menu
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…
View PDF on arXiv
The homotopy type of the cobordism category
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…
View on Springer
Embeddings from the point of view of immersion theory
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→…
View PDF on arXiv
A parametrized index theorem for the algebraicK-theory Euler class
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]…
View on Springer
Embeddings from the point of view of immersion theory: Part II
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 |-->…
View PDF on arXiv
Manifold calculus and homotopy sheaves
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…
View PDF on arXiv
Excision and restriction in controlled K-theory
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…
View via Publisher
Automorphisms of Manifolds and Algebraic K-Theory: I
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…
View via Publisher
Calculus of embeddings
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…
View via Publisher
Visible L-theory
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…
View via Publisher
...
...
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License