Results 61 to 70 of about 7,769,949 (162)
A relative Poincaré–Birkhoff theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
wiley +1 more source
Local Cohomology and ?ech Complexes [PDF]
, 2011 [[abstract]]讓 (R，m) 是一個 Noetherian local ring 以及讓C是關於這一個sequence x1，x2，…，xn 的?ech complex。如果這個ideal ( x1，x2，…，xn) 是m-primary，那麼我們知道 local cohomology 跟?ech complex 會有某種的同構關係。在本篇論文裡，我們會針對這個已知的事實給一個完整的證明。
陳韋達
core
Associated primes of formal local cohomology modules
, 2020 Let $\mathfrak{a}$ be an ideal of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module. In this paper we proved that if $\operatorname{Supp}\mathfrak{F}_\mathfrak{a}^i(M)$ is finite for all ...
openaire +2 more sources
String topology via the coHochschild complex and local intersections
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley +1 more source
The L-two cohomology of Artin groups
, 2003 For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the
Leary, I.J., Davis, M.W.
core +1 more source
Cominimaxness properties of formal local cohomology modules
, 2020 Let $\mathfrak{a}$ be an ideal of local ring $(R,\mathfrak{m})$ and $M$ a finitely generated $R$-module and $n\in\Bbb N$. It is shown that some results concerning cominimaxness of formal local cohomology modules.
openaire +2 more sources
On the $\partial\overline{\partial}$ -Lemma and Bott-Chern cohomology [PDF]
, 2013 On a compact complex manifold X, we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if X satisfies the ...
Tomassini, Adriano +2 more
core +1 more source
Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
core
Pairings, duality, amenability and bounded cohomology
, 2012 We give a new perspective on the homological characterisations of amenability given by Johnson and Ringrose in the context of bounded cohomology and by Block and Weinberger in the context of uniformly finite homology.
Wright, Nick +2 more
core +1 more source
Linearization of local cohomology modules [PDF]
, 2003 The aim of this work is to describe the linear structure of regular holonomic $\mathcal D$-modules with support a normal crossing with variation zero introduced in [Local cohomology, arrangements of subspaces and monomial ideals, to appear in Adv. in
Álvarez Montaner, Josep +3 more
core +1 more source