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

In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain...

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

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

theory and algebraic topology, a Mackey functor is a type of functor that generalizes various constructions in group theory and equivariant homotopy theory...

h(g\cdot x)=h(x)} for all x {\displaystyle x} . Equivariant cohomology Equivariant stable homotopy theory G-spectrum Matoušek, Jiří (2003). Using the Borsuk-Ulam...

is that the functor from the stable homotopy category (the homotopy category of spectra) to generalized homology theories on CW-pairs is not an equivalence...

theories simple homotopy theory stable homotopy theory chromatic homotopy theory rational homotopy theory p-adic homotopy theory equivariant homotopy...

December 2011. Dr Graeme Segal, elected fellow 1982 Segal, G. "Equivariant stable homotopy theory." Archived 24 September 2016 at the Wayback Machine In Actes...

specializing in algebraic topology, including algebraic K-theory and equivariant stable homotopy theory. She is an associate professor of mathematics at the...

used in the Hirzebruch–Riemann–Roch theorem. The equivariant algebraic K-theory is an algebraic K-theory associated to the category Coh G ⁡ ( X ) {\displaystyle...

F_{G}(G/H,X)=X^{H}} . Greenlees, John; May, Peter (1995). "8. Equivariant stable homotopy theory" (PDF). In James, I.M. (ed.). Handbook of algebraic topology...

focuses on algebraic geometry, including algebraic K-theory and equivariant stable homotopy theory. Gerhardt studied mathematics as an undergraduate at...

used to define an algebraic K-theory in a non-classical context. For example, one can define equivariant algebraic K-theory as π ∗ {\displaystyle \pi _{*}}...

classical, motivic and equivariant homotopy groups of spheres, with connections and applications to chromatic homotopy theory and geometric topology....

topology, including stable homotopy theory, chromatic homotopy theory, equivariant homotopy theory, and applications of these theories to condensed matter...

S2CID 115166724. Manolescu, Ciprian (2003). "Seiberg–Witten–Floer stable homotopy type of three-manifolds with b1 = 0". Geom. Topol. 7 (2): 889–932....

Y\}_{\mathbb {Z} _{2}},} an element of the stable Z 2 {\displaystyle \mathbb {Z} _{2}} -equivariant homotopy group of maps from X {\displaystyle X} to...

series representations), Graeme Segal (equivariant K-theory), Alexander Shapiro (Clifford algebras), L. Smith (homotopy groups of spheres), Paul Sutcliffe...

Abstract homotopy theory and motivic homotopy theory are also outside the scope. Glossary of category theory covers (or will cover) concepts in theory of model...

group L G {\displaystyle {}^{L}G} of a reductive group G and certain equivariant perverse sheaves on the affine Grassmannian associated to G. This equivalence...

is a theorem in homotopy theory, a branch of mathematics. The theorem relates the Burnside ring of a finite group G to the stable cohomotopy of the...

in stable homotopy theory. The proof by Hill, Hopkins and Ravenel works purely in the stable homotopy setting and uses equivariant homotopy theory in...

Stolz: A "stable" version of the Gromov-Lawson conjecture in Cenkl M., Miller, H. (ed.) The Cech centennial: Proc. Conference on Homotopy Theory, Contemporary...

C. Mackey functors are important in representation theory and stable equivariant homotopy theory. To every G-representation V we can associate a Mackey...

actually computable! Cotangent complex Homotopy associative algebra Kuranishi structure Mirror symmetry (string theory) Moduli of algebraic curves Kontsevich...

commuting with the elliptic operator, then one replaces ordinary K-theory with equivariant K-theory. Moreover, one gets generalizations of the Lefschetz fixed-point...

dualities found in representation theory of Lie algebras, abstract algebras (semisimple algebra) and topology (e.g., equivariant cohomology). The prototypical...

Lubin-Tate space, and stable homotopy theory. Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 1, 76–86. (with Benedict Gross) Equivariant vector bundles on the...

Algebraic K-theory is closely related to group cohomology: in Quillen's +-construction of K-theory, K-theory of a ring R is defined as the homotopy groups...