Computations in formal symplectic geometry and characteristic classes of moduli spaces

DOI10.4171/QT/61zbMath1362.17033arXiv1207.4350OpenAlexW2008993442MaRDI QIDQ2344897

Masaaki Suzuki, Shigeyuki Morita, Takuya Sakasai

Publication date: 19 May 2015

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4350

zbMATH Keywords

automorphism groups of free groupsmoduli space of curvesgraph homologyfinite type invariantstransversely symplectic foliationsymplectic derivation

Mathematics Subject Classification ID

Geometric group theory (20F65) Homological methods in Lie (super)algebras (17B55) Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (8)

The topology and geometry of automorphism groups of free groups ⋮ Torelli group, Johnson kernel, and invariants of homology spheres ⋮ Tropical curves and covers and their moduli spaces ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra ⋮ Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras ⋮ On the low-dimensional cohomology groups of the IA-automorphism group of the free group of rank three ⋮ Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ}

Cites Work

• Unnamed Item
• Euler characteristics of moduli spaces of curves
• Torus bundles and the group cohomology of \(GL(N,\mathbb{Z})\)
• The Rational Cohomology of the Mapping Class Group Vanishes in its Virtual Cohomological Dimension
• Cohomology of moduli spaces of curves of genus three via point counts
• Stable real cohomology of arithmetic groups
• Cohomology Theory of Lie Groups and Lie Algebras

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