K-flatness and orthogonality in homotopy categories
I Emmanouil - Israel Journal of Mathematics, 2023 - Springer
… acyclic complexes of pure injective modules. When restricting to the homotopy category K(Flat)
of flat modules… groups L ⊗R F is acyclic for any acyclic complex of right R-modules L. The …
of flat modules… groups L ⊗R F is acyclic for any acyclic complex of right R-modules L. The …
Chromatic Complexity of the Algebraic K-theory of
G Angelini-Knoll, JD Quigley - arXiv preprint arXiv:1908.09164, 2019 - arxiv.org
… We show that topological periodic cyclic homology of y(n) has chromatic complexity n + 1. …
the same chain complexes as in Lemma 2.17 except we do not include the acyclic complex (e0…
the same chain complexes as in Lemma 2.17 except we do not include the acyclic complex (e0…
Hermitian forms on periodic modules and even-dimensional links
M Farber - Knots 90: Proceedings of the International Conference …, 1992 - degruyter.com
In this paper we will study a class of Hermitian forms on Z-torsion modules over the group
ring of a free group These forms emerge geometrically as higher Blanchfield forms on …
ring of a free group These forms emerge geometrically as higher Blanchfield forms on …
Periodic index theory and equivariant torus signature
L Ma - arXiv preprint arXiv:2101.10243, 2021 - arxiv.org
… DeRham complex. In the case of the anti-self-dual DeRham complex, we define the periodic
… We say the complex Ez(V ) is acyclic if Hj(Ez(V )) = 0 for all j = 0, ..., n. z is called a spectral …
… We say the complex Ez(V ) is acyclic if Hj(Ez(V )) = 0 for all j = 0, ..., n. z is called a spectral …
Classes of modules arising in algebraic geometry
A Slávik - 2020 - dspace.cuni.cz
… of C-periodic module with respect to a class C of modules. … relating flat A-periodic modules
and acyclic complexes with … As a consequence every pure acyclic complex of projectives is …
and acyclic complexes with … As a consequence every pure acyclic complex of projectives is …
[PDF][PDF] Lifting theorems for tilting complexes
J Rickard - Journal of Algebra, 1991 - core.ac.uk
… complex, this means that S* QO k is acyclic and so S* is … to bounded complexes of finitely
generated free modules, but up … to complexes, bounded above, that are eventually periodic to …
generated free modules, but up … to complexes, bounded above, that are eventually periodic to …
Non-contractible periodic trajectories of symplectic vector fields, Floer cohomology and symplectic torsion
D Burghelea, S Haller - arXiv preprint math/0104013, 2001 - arxiv.org
… module of this complex is generated by the 1-periodic … 1-periodic closed trajectories of Z
and maybe other Floer complex related problems, particularly when the Floer complex is acyclic. …
and maybe other Floer complex related problems, particularly when the Floer complex is acyclic. …
[PDF][PDF] Erratum to: Shelling-type orderings of regular CW-complexes and acyclic matchings of the Salvetti complex
E Delucchi, P Mücksch - preprint, 2022 - paulmuecksch.github.io
… A positive answer would prove minimality of the Salvetti complex of arbitrary oriented
matroids, as well as lead to a generalization of [Müc22, Thm. 6.4] to general modular flats, not …
matroids, as well as lead to a generalization of [Müc22, Thm. 6.4] to general modular flats, not …
Sp-equivariant modules over polynomial rings in infinitely many variables
… module and I′′ is a torsion-free injective A-module. We show that the torsionfree injective
A-modules are exactly the modules … It follows that the terms of the Koszul complex are acyclic …
A-modules are exactly the modules … It follows that the terms of the Koszul complex are acyclic …
Construction of totally reflexive modules from an exact pair of zero divisors
H Holm - Bulletin of the London Mathematical Society, 2011 - academic.oup.com
… there exists a regular element on the A-module A/(x, y), we … A-modules whose minimal
free resolutions are periodic of … module of homomorphisms between any two given modules …
free resolutions are periodic of … module of homomorphisms between any two given modules …