In mathematics, equivariant topology is the study of topological spaces that possess certain symmetries. In studying topological spaces, one often considers...

equivariance is a central object of study in equivariant topology and its subtopics equivariant cohomology and equivariant stable homotopy theory. In the geometry...

mathematics, more specifically in topology, the equivariant stable homotopy theory is a subfield of equivariant topology that studies a spectrum with group...

topological spaces Equivariant topology List of algebraic topology topics List of examples in general topology List of general topology topics List of geometric...

In geometry and topology, given a group G (which may be a topological or Lie group), an equivariant bundle is a fiber bundle π : E → B {\displaystyle...

In mathematics, equivariant cohomology (or Borel cohomology) is a cohomology theory from algebraic topology which applies to topological spaces with a...

1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential...

_{S}X\to X} of a group scheme G on a scheme X over a base scheme S, an equivariant sheaf F on X is a sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules...

differential geometry, the localization formula states: for an equivariantly closed equivariant differential form α {\displaystyle \alpha } on an orbifold...

attributed there to Stefan Banach, for the n = 3 case. In the field of Equivariant topology, this proof would fall under the configuration-space/tests-map paradigm...

In mathematics, the equivariant algebraic K-theory is an algebraic K-theory associated to the category Coh G ⁡ ( X ) {\displaystyle \operatorname {Coh}...

Kneser graphs. After another chapter on more advanced topics in equivariant topology, two more chapters of applications follow, separated according to...

1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential...

continuous transformation groups”. Topological transformation groups. Equivariant topology. Shape theory. 1993–1996: Dean of Faculty of Natural Sciences, 1994–1996:...

algebra and topology, linear algebra and geometry, differential geometry and topology, and the theories of retracts, shapes, and equivariant compactifications...

and their relationships to symplectic geometry, combinatorics, and equivariant topology, among others". Faculty, McMaster Mathematics & Statistics, archived...

homotopy theory." Kristen Hendricks (2023), for "highly influential work on equivariant aspects of Floer homology theories". List of awards honoring women List...

(2001) showed that the Verlinde algebra can be identified with twisted equivariant K-theory of G. Fusion rules Blumenhagen, Ralph (2009). Introduction to...

appropriate topology). Then F(X)G consists of equivariant sheaves on X; thus, the descent in this case says that to give an equivariant sheaf on X is...

automaton if and only if it is continuous (with respect to the Cantor topology) and equivariant (with respect to the shift map). More generally, it asserts that...

: X → Y {\displaystyle \textstyle \varphi :X\rightarrow Y} which is equivariant, i.e. φ ( T x ) = S φ ( x ) {\displaystyle \textstyle \varphi (Tx)=S\varphi...

supervision of Michael Atiyah, was titled Equivariant K-theory. His thesis was in the area of equivariant K-theory. The Atiyah–Segal completion theorem...

1978. Her dissertation, Equivariant Z p {\displaystyle \mathbb {Z} _{p}} -Extension Properties, concerned equivariant topology and was supervised by Jan...

In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally...

contributions to algebraic topology, particularly equivariant stable homotopy theory, algebraic K-theory, and applied algebraic topology". In 2008, Carlsson...

} Another topology on X n {\displaystyle X_{n}} is the so-called Gromov topology or the equivariant Gromov–Hausdorff convergence topology, which provides...

{\displaystyle H} is a closed 3-form. This construction was extended to equivariant K-theory and to holomorphic K-theory by Mathai and Stevenson. Bundle...

mathematician specializing in low-dimensional topology, including work on involutive Heegaard Floer homology and equivariant Floer homology. She is an associate...

Eilenberg–Zilber theorem elliptic elliptic cohomology. En-algebra equivariant algebraic topology Equivariant algebraic topoloy is the study of spaces with (continuous)...

San Diego since 2020. He works in algebraic topology and focuses on classical, motivic and equivariant homotopy groups of spheres, with connections and...