Results 11  20
of
8,617
A∞–coalgebra structure on the Zphomology of EilenbergMac Lane spaces
 Proceedings EACA 2004
"... We study here the A(∞)coalgebra structure of the homology H∗(K(pi, n);Zp) of an EilenbergMac Lane space K(pi, n), where pi is a finitely generated abelian group and n is a positive integer. Using diverse techniques of homological perturbation, we get that the components ∆i(p−2)+2 of degree i(p − 2 ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
We study here the A(∞)coalgebra structure of the homology H∗(K(pi, n);Zp) of an EilenbergMac Lane space K(pi, n), where pi is a finitely generated abelian group and n is a positive integer. Using diverse techniques of homological perturbation, we get that the components ∆i(p−2)+2 of degree i
TWISTED COALGEBRA STRUCTURE OF POINCARE ́ GROUP AND NONCOMMUTATIVE QFT ON THE MOYAL SPACE
, 2008
"... We study the consequences of twisting the coalgebra structure of Poincare ́ group in a quantum field theory on a flat spacetime. First, we construct a tensor product representation space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a cov ..."
Abstract
 Add to MetaCart
We study the consequences of twisting the coalgebra structure of Poincare ́ group in a quantum field theory on a flat spacetime. First, we construct a tensor product representation space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
Abstract

Cited by 529 (3 self)
 Add to MetaCart
on such a manifold and Taylor coefficients of periods of Hodge structures considered as functions on the moduli space of complex structures on a mirror manifold. Recently it has been realized that one can make predictions for numbers of curves of positive genera and also on CalabiYau manifolds of arbitrary
Domain Theory
 Handbook of Logic in Computer Science
, 1994
"... Least fixpoints as meanings of recursive definitions. ..."
Abstract

Cited by 546 (25 self)
 Add to MetaCart
Least fixpoints as meanings of recursive definitions.
A Tutorial on (Co)Algebras and (Co)Induction
 EATCS Bulletin
, 1997
"... . Algebraic structures which are generated by a collection of constructors like natural numbers (generated by a zero and a successor) or finite lists and trees are of wellestablished importance in computer science. Formally, they are initial algebras. Induction is used both as a definition pr ..."
Abstract

Cited by 269 (36 self)
 Add to MetaCart
principle, and as a proof principle for such structures. But there are also important dual "coalgebraic" structures, which do not come equipped with constructor operations but with what are sometimes called "destructor" operations (also called observers, accessors, transition maps
Coalgebraic Logic
 Annals of Pure and Applied Logic
, 1999
"... We present a generalization of modal logic to logical systems which are interpreted on coalgebras of functors on sets. The leading idea is that infinitary modal logic contains characterizing formulas. That is, every modelworld pair is characterized up to bisimulation by an infinitary formula. The ..."
Abstract

Cited by 108 (0 self)
 Add to MetaCart
We present a generalization of modal logic to logical systems which are interpreted on coalgebras of functors on sets. The leading idea is that infinitary modal logic contains characterizing formulas. That is, every modelworld pair is characterized up to bisimulation by an infinitary formula
Coalgebras and quantization
, 2008
"... Two coalgebra structures are used in quantum field theory. The first one is the coalgebra part of a Hopf algebra leading to quantization. The second one is a comodule coalgebra over the first Hopf algebra and it is used to define connected chronological products and renormalization. Paper written ..."
Abstract
 Add to MetaCart
Two coalgebra structures are used in quantum field theory. The first one is the coalgebra part of a Hopf algebra leading to quantization. The second one is a comodule coalgebra over the first Hopf algebra and it is used to define connected chronological products and renormalization. Paper written
On Tree Coalgebras and Coalgebra Presentations
"... For deterministic systems, expressed as coalgebras over polynomial functors, every tree t (an element of the final coalgebra) turns out to represent a new coalgebra At. The universal property of these coalgebras, resembling freeness, is that for every state s of every system S there exists a unique ..."
Abstract
 Add to MetaCart
For deterministic systems, expressed as coalgebras over polynomial functors, every tree t (an element of the final coalgebra) turns out to represent a new coalgebra At. The universal property of these coalgebras, resembling freeness, is that for every state s of every system S there exists a unique
unknown title
, 1999
"... Analyzing the transference of the coalgebra structure on the homology of CDGAs ..."
Abstract
 Add to MetaCart
Analyzing the transference of the coalgebra structure on the homology of CDGAs
Results 11  20
of
8,617