The Torelli groups for genus 2 and 3 surfaces
From MaRDI portal
Publication:1209386
DOI10.1016/0040-9383(92)90008-6zbMath0772.57025OpenAlexW1980564597MaRDI QIDQ1209386
Publication date: 16 May 1993
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(92)90008-6
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (57)
The complex hyperbolic geometry of the moduli space of cubic surfaces ⋮ On a spectral sequence for the action of the Torelli group of genus on the complex of cycles ⋮ Relative pro-\(\ell \)completions of mapping class groups ⋮ Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants ⋮ OEandW* superrigidity results for actions by surface braid groups ⋮ On finiteness properties of the Johnson filtrations ⋮ Johnson homomorphisms ⋮ An action of subgroups of mapping class groups on polynomial algebras ⋮ Cohomology of the hyperelliptic Torelli group ⋮ The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group ⋮ On the topology of \(\mathcal{H}(2)\) ⋮ The top homology group of the genus 3 Torelli group ⋮ ABELIAN CYCLES IN THE HOMOLOGY OF THE TORELLI GROUP ⋮ Torelli groups, extended Johnson homomorphisms, and new cycles on the moduli space of curves ⋮ Small generating sets for the Torelli group ⋮ On symplectic stabilisations and mapping classes ⋮ A transfer principle: from periods to isoperiodic foliations ⋮ Morita’s trace maps on the group of homology cobordisms ⋮ On the completion of the mapping class group of genus two ⋮ All finite groups are involved in the mapping class group ⋮ Representation theory and homological stability. ⋮ Mapping class group representations from Drinfeld doubles of finite groups ⋮ GEOMETRY OF THE MODULI OF HIGHER SPIN CURVES ⋮ The topology of the zero locus of a genus 2 theta function ⋮ Infinitesimal presentations of the Torelli groups ⋮ The cobordism group of homology cylinders ⋮ Dimension of the Torelli group for \(\text{Out}(F_n)\). ⋮ SIMPLY INTERSECTING PAIR MAPS IN THE MAPPING CLASS GROUP ⋮ The kernel of the monodromy of the universal family of degree d smooth plane curves ⋮ Addendum to: commensurations of the Johnson kernel ⋮ The Johnson homomorphism and its kernel ⋮ Finiteness properties of the Johnson subgroups ⋮ The infinite topology of the hyperelliptic locus in Torelli space ⋮ Obtaining presentations from group actions without making choices. ⋮ Infinite generation of the kernels of the Magnus and Burau representations. ⋮ The dimension of the Torelli group ⋮ Homological infiniteness of decorated Torelli groups and Torelli spaces ⋮ Automorphisms of the Torelli complex and the complex of separating curves ⋮ Torelli spaces of high-dimensional manifolds ⋮ The second Johnson homomorphism and the second rational cohomology of the Johnson kernel ⋮ Unnamed Item ⋮ Open 3-manifolds whose fundamental groups have infinite center, and a torus theorem for 3-orbifolds ⋮ Equivariant group presentations and the second homology group of the Torelli group ⋮ Fundamental groups of moduli stacks of stable curves of compact type ⋮ The universal surface bundle over the Torelli space has no sections ⋮ Symplectic Jacobi diagrams and the Lie algebra of homology cylinders ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ An infinite presentation of the Torelli group ⋮ On the homology of Torelli groups and Torelli spaces ⋮ Congruence subgroups of braid groups ⋮ Rank-1 phenomena for mapping class groups ⋮ The topological IHX relation, pure braids, and the Torelli group ⋮ Automorphisms of the Torelli complex for the one-holed genus two surface ⋮ Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at \(t=-1\) ⋮ Projective varieties with non-residually finite fundamental group ⋮ \(\mathcal K_g\) is not finitely generated ⋮ FI-modules and stability for representations of symmetric groups
This page was built for publication: The Torelli groups for genus 2 and 3 surfaces