Results 11 to 20 of about 4,802 (77)
Completions of Z/(p)-Tate cohomology of periodic spectra [PDF]
, 1998 We construct splittings of some completions of the Z/(p)-Tate cohomology of E(n) and some related spectra. In particular, we split (a completion of) tE(n) as a (completion of) a wedge of E(n-1)'s as a spectrum, where t is shorthand for the fixed points ...
G G G Ggg +4 more
core +4 more sources
Centralizers in good groups are good [PDF]
, 2014 We modify the transchromatic character maps to land in a faithfully flat extension of Morava E-theory. Our construction makes use of the interaction between topological and algebraic localization and completion.
Barthel, Tobias, Stapleton, Nathaniel
core +1 more source
Blanchfield and Seifert algebra in high-dimensional boundary link theory I: Algebraic K-theory [PDF]
, 2005 The classification of high-dimensional mu-component boundary links motivates decomposition theorems for the algebraic K-groups of the group ring A[F_mu] and the noncommutative Cohn localization Sigma^{-1}A[F_mu], for any mu>0 and an arbitrary ring A ...
Andrew Ranicki +41 more
core +7 more sources
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Revisiting (∞,2)${(\infty,2)}$‐naturality of the Yoneda embedding
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We show that the Yoneda embedding ‘is’ (∞,2)$(\infty,2)$‐natural with respect to the functoriality of presheaves via left Kan extension, refining the (∞,1)$(\infty,1)$‐categorical result proven independently by Haugseng–Hebestreit–Linskens–Nuiten and Ramzi, and answering a question of Ben‐Moshe.
Tobias Lenz
wiley +1 more source
A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley +1 more source
Stably dualizable groups [PDF]
, 2005 We extend the duality theory for topological groups from the classical theory for compact Lie groups, via the topological study by J. R. Klein [Kl01] and the p-complete study for p-compact groups by T. Bauer [Ba04], to a general duality theory for stably
Rognes, John
core +3 more sources
Group completion and units in I-spaces
, 2012 The category of I-spaces is the diagram category of spaces indexed by finite sets and injections. This is a symmetric monoidal category whose commutative monoids model all E-infinity spaces.
Boardman +11 more
core +1 more source
On a nilpotence conjecture of J.P. May [PDF]
, 2015 We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., $H_\infty$-ring spectra. Using an explicit nilpotence bound on the torsion elements in $K(n)$-local $H_\infty$-algebras over $E_n$, we ...
Mathew, Akhil +2 more
core +1 more source
Noncommutative polygonal cluster algebras
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source