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algebraic topology, the Euler class is a characteristic class of oriented, real vector bundles. Like other characteristic classes, it measures how "twisted"...

] {\displaystyle X=[Y/G]} , the Chow group of X is the same as the G-equivariant Chow group of Y. A key difference from the theory of Chow groups of a...

The S-imprimitive equivariant Artin L-function θ(s) is obtained from the usual equivariant Artin L-function by removing the Euler factors corresponding...

dependent type. Affine bundle Algebra bundle Characteristic class Covering map Equivariant bundle Fibered manifold Fibration Gauge theory Hopf bundle I-bundle...

17th century envisioned the geometria situs and analysis situs. Leonhard Euler's Seven Bridges of Königsberg problem and polyhedron formula are arguably...

rational numbers Q). It can be defined as a Dirichlet series, it has an Euler product expansion, it satisfies a functional equation, it has an analytic...

implements the following fundamental layers: Permutation equivariant: a permutation equivariant layer maps a representation of a graph into an updated representation...

free G-action and all maps to be G-equivariant. Denote by S H k G ( X ) {\displaystyle SH_{k}^{G}(X)} the bordism classes. One can prove S H k G ( X ) ≅ H...

manifold with non-zero Euler class e ( T X ) {\displaystyle e(TX)} , then applying the Thom isomorphism and dividing by the Euler class, the topological index...

"only if" part of the Markus conjecture. Chern conjecture (1955) The Euler class of an affine manifold vanishes. Bishop & Goldberg 1968, pp. 223–224....

space X determines a cohomology class on X, the Euler class χ(E) ∈ Hr(X,Z). Informally, the Euler class is the class of the zero set of a general section...

defined by an Euler product. For each prime ideal p {\displaystyle {\mathfrak {p}}} in K {\displaystyle K} 's ring of integers, there is an Euler factor, which...

deleted tangent bundle TM \ {0}) it is enough that the connection be equivariant under positive rescalings: it need not be linear. That is, (cf. Ehresmann...

map from Teichmüller space to the space of Γ {\displaystyle \Gamma } -equivariant solutions to the Beltrami differential equation. These give rise, via...

category of affine algebraic varieties. Such as group cohomology or equivariant K-theory. In particular, if the representation is faithful. Arthur Tresse...

This is usually done by means of intersection theory. Epidemiology Equivariant noncommutative algebraic geometry Ergodic Ramsey theory a branch where...

{\displaystyle U_{i}\subset U_{j}} there is a Γ i {\displaystyle \Gamma _{i}} -equivariant homeomorphism ψ i j {\displaystyle \psi _{ij}} , called a gluing map...

classical centers has the property that it is invariant (more precisely equivariant) under similarity transformations. In other words, for any triangle and...

and the last nonzero term is the tangent sheaf, is called the Euler sequence. equivariant intersection theory See Chapter II of http://www.math.ubc.ca/~behrend/cet...

This approach was the basis of Manolescu's 2013 construction of Pin (2)-equivariant Seiberg–Witten Floer homology, with which he disproved the Triangulation...