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 …

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…

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 …

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 …

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 …

[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 …

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. …

[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 …

Sp-equivariant modules over polynomial rings in infinitely many variables

SV Sam, A Snowden - arXiv preprint arXiv:2002.03243, 2020 - arxiv.org
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

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