Geometric cycles and characteristic classes of manifold bundles (with an appendix by M. Krannich)

DOI10.4171/CMH/505zbMath1469.55009arXiv1711.03139MaRDI QIDQ2030893

Bena Tshishiku

Publication date: 8 June 2021

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03139

zbMATH Keywords

characteristic classesarithmetic groupsgeometric cyclesmanifold bundles

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Fiber bundles in algebraic topology (55R10) Cohomology of arithmetic groups (11F75)

Related Items (2)

Geometric cycles and bounded cohomology for a cocompact lattice in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ ON THE COHOMOLOGY OF TORELLI GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology of the second Voronoi compactification of \(\mathcal A_4\)
• Geometric construction of cohomology for arithmetic groups. I
• Polynomial invariants for smooth four-manifolds
• Density properties for certain subgroups of semi-simple groups without compact components
• Arithmetic subgroups of algebraic groups
• Flat cycles in the homology of \(\Gamma \setminus SL_m \mathbb{R} / SO(m)\)
• Virtual Betti numbers of compact locally symmetric spaces
• Stability of the homology of the mapping class groups of orientable surfaces
• Geometry and arithmetic cycles attached to \(\mathrm{SL}_3(\mathbb{Z})\). I
• On the diffeomorphism types of certain algebraic surfaces. I
• The \(L^ 2\) structure of moduli spaces of Einstein metrics on 4- manifolds
• On the first Betti number of a constant negatively curved manifold
• Infinitesimal computations in topology
• Non-univalent harmonic maps homotopic to diffeomorphisms.
• The rational cohomology ring of the moduli space of abelian 3-folds.
• Introduction to quadratic forms
• Stable moduli spaces of high-dimensional manifolds
• Rational homotopy theory of automorphisms of manifolds
• Homological stability for moduli spaces of high dimensional manifolds. II.
• An upper bound for the pseudoisotopy stable range
• Homological stability of diffeomorphism groups
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• Einstein manifolds
• Cartan subgroups and lattices in semi-simple groups
• Geometric cycles, arithmetic groups and their cohomology
• The diffeomorphism group of a K3 surface and Nielsen realization
• Foliations and groups of diffeomorphisms
• Stable real cohomology of arithmetic groups
• Homological stability for moduli spaces of high dimensional manifolds. I
• Borel's stable range for the cohomology of arithmetic groups
• A NOTE ON RATIONAL HOMOLOGICAL STABILITY OF AUTOMORPHISMS OF MANIFOLDS
• The cohomology of Torelli groups is algebraic
• Torelli spaces of high-dimensional manifolds
• Intersection Numbers of Special Cycles
• Stable moduli spaces of high‐dimensional handlebodies
• Diffeomorphisms of 4-Manifolds
• Characteristic classes of surface bundles

This page was built for publication: Geometric cycles and characteristic classes of manifold bundles (with an appendix by M. Krannich)