Results 21 to 30 of about 2,551 (80)
Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley +1 more source
Journal of Topology, Volume 17, Issue 2, June 2024.Abstract In a 2005 paper, Casacuberta, Scevenels, and Smith construct a homotopy idempotent functor E$E$ on the category of simplicial sets with the property that whether it can be expressed as localization with respect to a map f$f$ is independent of the ZFC axioms. We show that this construction can be carried out in homotopy type theory.
J. Daniel Christensen
wiley +1 more source
Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds Ug,1n:=#g(Sn×Sn+1)∖int(D2n+1)$U_{g,1}^n:= \#^g(S^n \times S^{n+1})\setminus \mathrm{int}(D^{2n+1})$, for large g$g$ and n$n$, up to degree n−3$n-3$.
Johannes Ebert, Jens Reinhold
wiley +1 more source
Groups of type $FP$ via graphical small cancellation
, 2020 We construct an uncountable family of groups of type $FP$. In contrast to every previous construction of non-finitely presented groups of type $FP$ we do not use Morse theory on cubical complexes; instead we use Gromov's graphical small cancellation ...
Brown, Thomas, Leary, Ian J
core
A Whitehead theorem for periodic homotopy groups [PDF]
, 2018 We show that $v_n$-periodic homotopy groups detect homotopy equivalences between simply-connected finite CW ...
Barthel, Tobias +2 more
core +1 more source
The \'etale symmetric K\"unneth theorem
, 2018 Let $k$ be an algebraically closed field, $l\neq\operatorname{char} k$ a prime number, and $X$ a quasi-projective scheme over $k$. We show that the \'etale homotopy type of the $d$th symmetric power of $X$ is $\mathbb Z/l$-homologically equivalent to the
Hoyois, Marc
core
Computing Homotopy Classes for Diagrams. [PDF]
Discrete Comput Geom, 2023 Filakovský M, Vokřínek L.
europepmc +1 more source
Abelian homotopy Dijkgraaf-Witten theory
, 2004 We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theory based on U(1) classifies lens spaces up to ...
Hansen, S. K. +2 more
core +1 more source
Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
europepmc +1 more source