Results 11 to 20 of about 75,652 (194)

Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]

Int J Numer Method Biomed Eng
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
europepmc   +2 more sources

From β to η: a new cohomology for deformed Sasaki-Einstein manifolds

Journal of High Energy Physics, 2022
We discuss in detail the different analogues of Dolbeault cohomology groups on Sasaki-Einstein manifolds and prove a new vanishing result for the transverse Dolbeault cohomology groups H ∂ ¯ p 0 k $$ {H}_{\overline{\partial}}^{\left(p,0\right)}(k ...
Edward Lødøen Tasker
doaj   +1 more source

ON THE COHOMOLOGY OF TORELLI GROUPS

Forum of Mathematics, Pi, 2020
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $\#^{g}S^{n}\times S^{n}$ relative to a disc in a stable range, for $2n\geqslant 6$.
ALEXANDER KUPERS, OSCAR RANDAL-WILLIAMS
doaj   +1 more source

Equivariant Lie–Rinehart cohomology; pp. 294–300 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
In this paper we study Lie–Rinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.
Eivind Eriksen, Trond Stølen Gustavsen
doaj   +1 more source

Cohomology of F-Groups [PDF]

Transactions of the American Mathematical Society, 1970
Let G be a group of Mobius transformations and V the space of com- plex polynomials of degree < some fixed even integer. Using the action of G on V defined by Eichler, we compute the dimension of the cohomology space H'(G, V), first for G an arbitrary F-group (a generalization of Fuchsian group) and then for the free product of finitely many F-groups ...
openaire   +2 more sources

The cohomology of Torelli groups is algebraic

Forum of Mathematics, Sigma, 2020
The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
doaj   +1 more source

Duality for $K$-analytic Group Cohomology of $p$-adic Lie Groups

Comptes Rendus. Mathématique, 2022
We prove a duality result for the analytic cohomology of Lie groups over non-archimedean fields acting on locally convex vector spaces by combining Tamme’s non-archimedean van Est comparison morphism with Hazewinkel’s duality result for Lie algebra ...
Thomas, Oliver
doaj   +1 more source

Cohomology of Metacyclic Groups [PDF]

Transactions of the American Mathematical Society, 1991
Let \(e: 1\to N\to G\to K\to 1\) be an extension of a finite cyclic group \(N\) by a finite cyclic group \(K\). Then the literature already enables us to calculate \(H^*(G,\mathbb{Z})\) in principle. Step 1 is to reduce the calculation to a \(p\)-Sylow subgroup -- which will be either cyclic, abelian of rank 2 or non-abelian metacyclic.
openaire   +1 more source

On the Morse–Novikov Cohomology of blowing up complex manifolds

Comptes Rendus. Mathématique, 2020
Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
doaj   +1 more source

Cohomology of Effect Algebras [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect
Frank Roumen
doaj   +1 more source