Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Madsen, Ib"'
Autor:
Berglund, Alexander, Madsen, Ib
We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for the homotopy automorphisms and the block diffeomorphisms of such mani
Externí odkaz:
http://arxiv.org/abs/1401.4096
Autor:
Berglund, Alexander, Madsen, Ib
In this paper we prove a stability theorem for block diffeomorphisms of 2d-dimensional manifolds that are connected sums of S^d x S^d. Combining this with a recent theorem of S. Galatius and O. Randal-Williams and Morlet's lemma of disjunction, we de
Externí odkaz:
http://arxiv.org/abs/1203.4161
Autor:
Bökstedt, M., Madsen, Ib
This paper examines the category C^k_{d,n} whose morphisms are d-dimensional smooth manifolds that are properly embedded in the product of a k-dimensional cube with an (d+n-k)-dimensional Euclidean space. There are k directions to compose k-dimension
Externí odkaz:
http://arxiv.org/abs/1102.4155
Autor:
Botvinnik, Boris, Madsen, Ib
We study the moduli and determine a homotopy type of the space of all generalized Morse functions on d-manifolds for given d. This moduli space is closely connected to the moduli space of all Morse functions studied in the paper math.AT/0212321, and
Externí odkaz:
http://arxiv.org/abs/1004.2895
Autor:
Cohen, Ralph L., Madsen, Ib
In this paper we present a new proof of the homological stability of the moduli space of closed surfaces in a simply connected background space $K$, which we denote by $S_g (K)$. The homology stability of surfaces in $K$ with an arbitrary number of b
Externí odkaz:
http://arxiv.org/abs/1002.2498
Autor:
Madsen, Ib
This paper proves an integral version of the Riemann-Roch theorem for surface bundles, comparing the standard cohomology classes with the cohomology classes coming from the symplectic group.
Externí odkaz:
http://arxiv.org/abs/0901.4240
Publikováno v:
Journal of the American Mathematical Society, Volume 19, Number 4, October 2006, Pages 759--779
We determine the sublattice generated by the Miller-Morita-Mumford classes $\kappa_i$ in the torsion free quotient of the integral cohomology ring of the stable mapping class group. We further decide when the mod p reductions $\kappa_i$ vanish.
Externí odkaz:
http://arxiv.org/abs/math/0701247
Publikováno v:
Acta Math. 202 (2009), no. 2, 195--239
The embedded cobordism category under study in this paper generalizes the category of conformal surfaces, introduced by G. Segal in order to formalize the concept of field theories. Our main result identifies the homotopy type of the classifying spac
Externí odkaz:
http://arxiv.org/abs/math/0605249
Autor:
Cohen, Ralph L., Madsen, Ib
In this paper we study the topology of the space of Riemann surfaces in a simply connected space X, S_{g,n} (X, \gamma). This is the space consisting of triples, (F_{g,n}, \phi, f), where F_{g,n} is a Riemann surface of genus g and n-boundary compone
Externí odkaz:
http://arxiv.org/abs/math/0601750
Autor:
Madsen, Ib, Weiss, Michael S.
The main result of this paper amounts to a complete evaluation of the integral cohomological structure of the stable mapping class group. In particular it verifies the conjecture of D.Mumford about the rational cohomology of the stable mapping class
Externí odkaz:
http://arxiv.org/abs/math/0212321