The stable moduli space of Riemann surfaces: Mumford's conjecture
From MaRDI portal
Publication:2461382
DOI10.4007/annals.2007.165.843zbMath1156.14021arXivmath/0212321OpenAlexW2164439626WikidataQ122888370 ScholiaQ122888370MaRDI QIDQ2461382
Publication date: 27 November 2007
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0212321
Related Items (92)
Local maxima of the systole function ⋮ Mod~2 homology of the stable spin mapping class group ⋮ On the non-vanishing of the powers of the Euler class for mapping class groups ⋮ Homological stability for moduli spaces of high dimensional manifolds. II. ⋮ Automorphisms of free groups with boundaries. ⋮ Characteristic classes for families of bundles ⋮ Book review of: B. Farb (ed.) et al., Moduli spaces of Riemann surfaces ⋮ On the divisibility of characteristic classes of non-oriented surface bundles ⋮ Stabilization for the automorphisms of free groups with boundaries ⋮ The unstable integral homology of the mapping class groups of a surface with boundary ⋮ Stable cohomology of the perfect cone toroidal compactification of \(\mathcal{A}_g\) ⋮ The positive scalar curvature cobordism category ⋮ Johnson homomorphisms ⋮ Stable homology of surface diffeomorphism groups made discrete ⋮ Tubular configurations: equivariant scanning and splitting ⋮ Infinite loop spaces from operads with homological stability ⋮ The high-dimensional cohomology of the moduli space of curves with level structures ⋮ An integral Riemann-Roch theorem for surface bundles ⋮ Operations on stable moduli spaces ⋮ Topological methods in moduli theory ⋮ Homological stability for moduli spaces of high dimensional manifolds. I ⋮ Stabilization for mapping class groups of 3-manifolds ⋮ The homotopy type of the cobordism category ⋮ Algebraic independence of generalized MMM-classes ⋮ Euler characteristics of moduli spaces of curves ⋮ A heuristic for the distribution of point counts for random curves over a finite field ⋮ Pontrjagin-Thom maps and the homology of the moduli stack of stable curves ⋮ Index theory in spaces of manifolds ⋮ ON THE COHOMOLOGY OF TORELLI GROUPS ⋮ Diffeomorphisms of discs ⋮ Homological stability: a tool for computations ⋮ Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds ⋮ Topology. Abstracts from the workshop held July 24--30, 2022 ⋮ Moduli spaces of Riemann surfaces as Hurwitz spaces ⋮ Homology stability for symmetric diffeomorphism and mapping class groups ⋮ Some computations of stable twisted homology for mapping class groups ⋮ Hurwitz-Ran spaces ⋮ Madsen-Weiss for geometrically minded topologists ⋮ Big mapping class groups with uncountable integral homology ⋮ The \(\mathbb{R}\)-local homotopy theory of smooth spaces ⋮ The Picard group of the moduli space of \(r\)-spin Riemann surfaces ⋮ Derived localisation of algebras and modules ⋮ Representation theory and homological stability. ⋮ Stable homology of automorphism groups of free groups. ⋮ On the moduli space of flat symplectic surface bundles ⋮ The second rational homology group of the moduli space of curves with level structures ⋮ The first homology group of the mapping class group of a nonorientable surface with twisted coefficients ⋮ Cobordism categories of manifolds with corners ⋮ On characteristic classes of exotic manifold bundles ⋮ Fold maps, framed immersions and smooth structures ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Characteristic numbers of manifold bundles over surfaces with highly connected fibers ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Improved homological stability for the mapping class group with integral or twisted coefficients ⋮ Lusternik–Schnirelmann category of relation matrices on finite spaces and simplicial complexes ⋮ Braids, mapping class groups, and categorical delooping ⋮ Cup products in surface bundles, higher Johnson invariants, and MMM classes ⋮ Universal moduli spaces of Riemann surfaces ⋮ Homological stability for the mapping class groups of non-orientable surfaces ⋮ The Cobordism hypothesis ⋮ The class of the locus of intermediate Jacobians of cubic threefolds ⋮ Torelli spaces of high-dimensional manifolds ⋮ Stable moduli spaces of high-dimensional manifolds ⋮ Monoids of moduli spaces of manifolds ⋮ Three applications of delooping to \(h\)-principles ⋮ Witten's conjecture and recursions for \(\kappa\) classes ⋮ A vanishing theorem for tautological classes of aspherical manifolds ⋮ On the Farrell-Jones conjecture for Waldhausen's \(A\)-theory ⋮ Geometric cycles and characteristic classes of manifold bundles (with an appendix by M. Krannich) ⋮ An infinite genus mapping class group and stable cohomology ⋮ On the quotients of mapping class groups of surfaces by the Johnson subgroups ⋮ Fundamental groups of moduli stacks of stable curves of compact type ⋮ The homology of the stable nonorientable mapping class group ⋮ On the homotopy type of the Deligne-Mumford compactification ⋮ An open-closed cobordism category with background space ⋮ Divisibility of the stable Miller-Morita-Mumford classes ⋮ Pointed harmonic volume and its relation to the extended Johnson homomorphism ⋮ Universal moduli spaces of surfaces with flat bundles and cobordism theory ⋮ ABELIAN COVERS OF SURFACES AND THE HOMOLOGY OF THE LEVEL L MAPPING CLASS GROUP ⋮ Noncommutative aspects of open/closed strings via foliations ⋮ Cobordism categories and moduli spaces of odd dimensional manifolds ⋮ Bordism groups of solutions to differential relations ⋮ The Arf-Brown TQFT of pin⁻ surfaces ⋮ Spaces of graphs and surfaces: on the work of Søren Galatius ⋮ The space of immersed surfaces in a manifold ⋮ The twist subgroup of the mapping class group of a nonorientable surface ⋮ \(E_2\)-cells and mapping class groups ⋮ Parametrised moduli spaces of surfaces as infinite loop spaces ⋮ On the homology of certain smooth covers of moduli spaces of algebraic curves ⋮ Two-Categorical Bundles and their Classifying Spaces ⋮ Homological stability for spaces of embedded surfaces ⋮ Relations among characteristic classes of manifold bundles
This page was built for publication: The stable moduli space of Riemann surfaces: Mumford's conjecture