239 research outputs found
Equivariant A-infinity algebras for nonorientable Lagrangians
We set up an algebraic framework for the study of pseudoholomorphic discs
bounding nonorientable Lagrangians, as well as equivariant extensions of such
structures arising from a torus action.
First, we define unital cyclic twisted algebras and prove some
basic results about them, including a homological perturbation lemma which
allows one to construct minimal models of such algebras. We then construct an
equivariant extension of algebras which are invariant under a torus
action on the underlying complex. Finally, we construct a homotopy retraction
of the Cartan-Weil complex to equivariant cohomology, which allows us to
construct minimal models for equivariant cyclic twisted algebras.
In a forthcoming paper we will use these results to define and obtain
fixed-point expressions for the open Gromov-Witten theory of , as well as its equivariant extension.Comment: Revised subsection 5.2 to simplify the argument and correct a typo in
the proof of Lemma 51 (of v1). This does not affect the validity of the
statement of Lemma 51 (or any other parts of the paper
Taylor Expansion Proof of the Matrix Tree Theorem - Part I
The Matrix-Tree Theorem states that the number of spanning trees of a graph
is given by the absolute value of any cofactor of the Laplacian matrix of the
graph. We propose a very short proof of this result which amounts to comparing
Taylor expansions
Taylor Expansion Proof of the Matrix Tree Theorem - Part II
The All Minors Matrix Tree Theorem states that the determinant of any
submatrix of a matrix whose columns sum to zero can be computed as a sum over
certain oriented forests. We offer a particularly short proof of this result,
which amounts to comparing Taylor series expansions
Invitation to Topological Conformal Field Theories
Topological conformal field theories are defined using only basic results
from the theory of quasiconformal mappings.Comment: Submitted as an MSc thesis to the Hebrew U. of Jerusale
Elsa Boyer, Le Conflit des perceptions
La profonde singularitĂ© et puissance argumentative de lâouvrage dâElsa Boyer est de mettre Ă lâĂ©preuve plusieurs pensĂ©es de la perception (celles dâEdmund Husserl, de Jacques Derrida et de Bernard Stiegler) au moyen de la rĂ©alitĂ© virtuelle quâexpĂ©rimente le joueur de jeux vidĂ©o. En tentant dâarticuler la perception originaire et la perception non originaire (conscience dâimages libres ou phantasia chez Husserl), Elsa Boyer articule avec finesse le triple rapport de la perception, du support t..
Anne Beyaert-Geslin, SĂ©miotique du design
Le sujet de cet essai dâAnne Beyaert-Geslin est la chaise. Sujet dâĂ©tude fort restreint au premier abord, mais que lâauteure, par une dĂ©marche comparatiste et une grande ductilitĂ© des rĂ©fĂ©rences, conduit progressivement Ă des interrogations toutes essentielles : diffĂ©rences entre sculpture et objet utilitaire, entre art et design, entre utilisateur et spectateur. Lâauteur nous propose ainsi une sĂ©miotique et une phĂ©nomĂ©nologie comparĂ©es de diffĂ©rentes catĂ©gories dâobjets, oĂč perception et uti..
Anne Beyaert-Geslin, SĂ©miotique du design
Le sujet de cet essai dâAnne Beyaert-Geslin est la chaise. Sujet dâĂ©tude fort restreint au premier abord, mais que lâauteure, par une dĂ©marche comparatiste et une grande ductilitĂ© des rĂ©fĂ©rences, conduit progressivement Ă des interrogations toutes essentielles : diffĂ©rences entre sculpture et objet utilitaire, entre art et design, entre utilisateur et spectateur. Lâauteur nous propose ainsi une sĂ©miotique et une phĂ©nomĂ©nologie comparĂ©es de diffĂ©rentes catĂ©gories dâobjets, oĂč perception et uti..
Retrospective Writing, or How One Becomes an Art Critic
The common characteristic of these books by Anne Tronche, Simon Reynolds and Douglas Crimp â in which a French, English and an American critic, all develop a similar âstyle of writingâ â is the close intertwining of first and third-person discourses. Each writer integrates the subjectivity of a personal viewpoint into the analysis of musical, visual or cinematographic works. The style reflects an awareness of what exactly a critic is, namely, someone who is both inside and outside art, at onc..
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