Generalized orbifold Euler characteristic of symmetric products and equivariant Morava \(K\)-theory

DOI10.2140/agt.2001.1.115zbMath0965.57033arXivmath/0103177OpenAlexW3102018681MaRDI QIDQ5927736

Hirotaka Tamanoi

Publication date: 29 March 2001

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103177

zbMATH Keywords

Riemann zeta functiongenerating functions\(q\)-series\(G\)-setsMöbius functionssecond quantized manifoldssymmetric productstwisted iterated free loop spacetwisted mapping spacewreath products

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Extensions, wreath products, and other compositions of groups (20E22) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Finite transformation groups (57S17)

Related Items (24)

On the power structure over the Grothendieck ring of varieties and its applications ⋮ Index of a singular point of a vector field or of a 1-form on an orbifold ⋮ Functional equations for orbifold wreath products ⋮ Equivariant Euler characteristics of symplectic buildings ⋮ Homotopy cardinality via extrapolation of Morava-Euler characteristics ⋮ Generating functions of orbifold Chern classes I: symmetric products ⋮ Generalized orbifold Euler characteristics for general orbifolds and wreath products ⋮ Orbifold Euler characteristics of non‐orbifold groupoids ⋮ Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces ⋮ Equivariant Euler characteristics of subgroup complexes of symmetric groups ⋮ Higher order generalized Euler characteristics and generating series ⋮ Counting conjugacy classes of subgroups in a finitely generated group. ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ CLASSIFYING CLOSED 2-ORBIFOLDS WITH EULER CHARACTERISTICS ⋮ Free and free Abelian Euler-Satake characteristics of nonorientable 2-orbifolds ⋮ Orbifold genera, product formulas and power operations ⋮ Equivariant Euler characteristics of partition posets ⋮ Equivariant Euler characteristics of unitary buildings ⋮ Infinite product decomposition of orbifold mapping spaces ⋮ The universal Euler characteristic of \(V\)-manifolds ⋮ Nonvanishing vector fields on orbifolds ⋮ Equivariant Euler characteristics of subspace posets ⋮ Grothendieck Ring of Varieties with Actions of Finite Groups ⋮ Power operations in the Stolz-Teichner program

Cites Work

• On the Euler number of an orbifold
• The Atiyah-Singer index theorem
• Orbifold Euler characteristics and the number of commuting \(m\)-tuples in the symmetric groups
• Elliptic genera of symmetric products and second quantized strings
• Equivariant \(K\)-theory, wreath products, and Heisenberg algebra
• Generalized group characters and complex oriented cohomology theories
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