Generators for the tautological algebra of the moduli space of curves.
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Publication:1868039
DOI10.1016/S0040-9383(02)00082-4zbMath1054.32008MaRDI QIDQ1868039
Publication date: 27 April 2003
Published in: Topology (Search for Journal in Brave)
symplectic groupmapping class groupmoduli space of curvestautological algebraMumford-Morita-Miller class
General low-dimensional topology (57M99) Families, moduli of curves (algebraic) (14H10) Characteristic classes and numbers in differential topology (57R20) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)
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Johnson homomorphisms ⋮ Tautological classes of definite 4-manifolds ⋮ Computing top intersections in the tautological ring of \({\mathcal{M}_g}\) ⋮ On the structure of the algebra generated by the rational equivalence classes of Brill-Noether loci in the Chow ring of the moduli space of semistable bundles on elliptic curve ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ The \(\varkappa \) ring of the moduli of curves of compact type ⋮ Relations among tautological classes revisited ⋮ Tautological rings for high-dimensional manifolds ⋮ Improved homological stability for the mapping class group with integral or twisted coefficients ⋮ Tautological classes and smooth bundles over BSU(2) ⋮ The Johnson homomorphism and the third rational cohomology group of the Torelli group ⋮ Some phenomena in tautological rings of manifolds ⋮ Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras ⋮ Relations in the tautological ring of \({\mathcal M}_g\) ⋮ \(E_2\)-cells and mapping class groups ⋮ TAUTOLOGICAL RINGS AND STABILISATION ⋮ Relations among characteristic classes of manifold bundles
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