In mathematics, equivariant topology is the study of topological spaces that possess certain symmetries. In studying topological spaces, one often considers...
6 KB (934 words) - 12:56, 15 May 2023
equivariance is a central object of study in equivariant topology and its subtopics equivariant cohomology and equivariant stable homotopy theory. In the geometry...
12 KB (1,433 words) - 18:58, 8 February 2024
topological spaces Equivariant topology List of algebraic topology topics List of examples in general topology List of general topology topics List of geometric...
35 KB (4,041 words) - 16:49, 2 September 2024
mathematics, more specifically in topology, the equivariant stable homotopy theory is a subfield of equivariant topology that studies a spectrum with group...
984 bytes (87 words) - 16:06, 17 March 2019
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...
888 bytes (132 words) - 02:10, 3 July 2023
1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential...
17 KB (2,272 words) - 02:27, 26 December 2023
In mathematics, equivariant cohomology (or Borel cohomology) is a cohomology theory from algebraic topology which applies to topological spaces with a...
12 KB (1,813 words) - 12:29, 30 April 2024
_{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...
9 KB (1,472 words) - 13:41, 24 May 2023
Ham sandwich theorem (category Theorems in topology)
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...
19 KB (2,453 words) - 22:21, 10 September 2024
differential geometry, the localization formula states: for an equivariantly closed equivariant differential form α {\displaystyle \alpha } on an orbifold...
4 KB (530 words) - 03:18, 20 March 2024
In mathematics, the equivariant algebraic K-theory is an algebraic K-theory associated to the category Coh G ( X ) {\displaystyle \operatorname {Coh}...
5 KB (786 words) - 07:58, 13 August 2023
continuous transformation groups”. Topological transformation groups. Equivariant topology. Shape theory. 1993–1996: Dean of Faculty of Natural Sciences, 1994–1996:...
10 KB (1,112 words) - 11:03, 16 July 2024
algebra and topology, linear algebra and geometry, differential geometry and topology, and the theories of retracts, shapes, and equivariant compactifications...
6 KB (633 words) - 20:27, 12 January 2023
Using the Borsuk–Ulam Theorem (category Algebraic topology)
Kneser graphs. After another chapter on more advanced topics in equivariant topology, two more chapters of applications follow, separated according to...
5 KB (530 words) - 22:33, 8 May 2023
1980s the theory developed interactions with symplectic geometry and equivariant topology, and was used to construct moduli spaces of objects in differential...
19 KB (2,590 words) - 20:58, 17 May 2024
and their relationships to symplectic geometry, combinatorics, and equivariant topology, among others". Faculty, McMaster Mathematics & Statistics, archived...
4 KB (289 words) - 01:12, 7 August 2024
Eilenberg–Zilber theorem elliptic elliptic cohomology. En-algebra equivariant algebraic topology Equivariant algebraic topoloy is the study of spaces with (continuous)...
52 KB (7,629 words) - 12:07, 26 July 2024
homotopy theory." Kristen Hendricks (2023), for "highly influential work on equivariant aspects of Floer homology theories". List of awards honoring women List...
4 KB (302 words) - 09:58, 27 September 2023
mathematician specializing in low-dimensional topology, including work on involutive Heegaard Floer homology and equivariant Floer homology. She is an associate...
2 KB (191 words) - 10:01, 7 April 2024
In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally...
29 KB (4,085 words) - 13:01, 12 September 2024
Verlinde algebra (section Twisted equivariant K-theory)
(2001) showed that the Verlinde algebra can be identified with twisted equivariant K-theory of G. Fusion rules Blumenhagen, Ralph (2009). Introduction to...
4 KB (406 words) - 18:39, 6 March 2023
1978. Her dissertation, Equivariant Z p {\displaystyle \mathbb {Z} _{p}} -Extension Properties, concerned equivariant topology and was supervised by Jan...
3 KB (294 words) - 07:13, 7 June 2024
: 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...
6 KB (915 words) - 02:22, 3 January 2023
Descent along torsors (category Topology)
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...
2 KB (212 words) - 16:55, 1 September 2022
Chow group of a stack (redirect from Equivariant Chow group)
] {\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...
11 KB (1,446 words) - 02:50, 14 June 2023
supervision of Michael Atiyah, was titled Equivariant K-theory. His thesis was in the area of equivariant K-theory. The Atiyah–Segal completion theorem...
6 KB (446 words) - 18:57, 26 January 2024
Outer space (mathematics) (category Geometric topology)
} Another topology on X n {\displaystyle X_{n}} is the so-called Gromov topology or the equivariant Gromov–Hausdorff convergence topology, which provides...
28 KB (4,147 words) - 22:09, 7 July 2024
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...
12 KB (1,601 words) - 02:56, 30 July 2023
San Diego since 2020. He works in algebraic topology and focuses on classical, motivic and equivariant homotopy groups of spheres, with connections and...
7 KB (595 words) - 14:51, 2 April 2024
conjecture". Topology. 10: 67–80. doi:10.1016/0040-9383(71)90018-8. ISSN 0040-9383. MR 0279804. Quillen, Daniel (1971). "The spectrum of an equivariant cohomology...
11 KB (931 words) - 11:32, 18 July 2024