Relevant bibliographies by topics / Kontsevich formality / Journal articles
To see the other types of publications on this topic, follow the link: Kontsevich formality.

Journal articles on the topic 'Kontsevich formality'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 21 journal articles for your research on the topic 'Kontsevich formality.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Calaque, Damien, Giovanni Felder, Andrea Ferrario, and Carlo A. Rossi. "Bimodules and branes in deformation quantization." Compositio Mathematica 147, no. 1 (2010): 105–60. http://dx.doi.org/10.1112/s0010437x10004847.

Full text
Abstract:
AbstractWe prove a version of Kontsevich’s formality theorem for two subspaces (branes) of a vector space X. The result implies, in particular, that the Kontsevich deformation quantizations of S(X*) and ∧(X) associated with a quadratic Poisson structure are Koszul dual. This answers an open question in Shoikhet’s recent paper on Koszul duality in deformation quantization.
APA, Harvard, Vancouver, ISO, and other styles
2

Arnal, Didier. "Kontsevich formality and cohomologies for graphs." Letters in Mathematical Physics 69, no. 1-3 (2004): 205–22. http://dx.doi.org/10.1007/s11005-004-1220-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Songhafouo Tsopméné, Paul Arnaud. "Symmetric multiplicative formality of the Kontsevich operad." Journal of Homotopy and Related Structures 13, no. 1 (2017): 225–35. http://dx.doi.org/10.1007/s40062-017-0179-x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Sharapov, Alexey, and Evgeny Skvortsov. "Formal higher-spin theories and Kontsevich–Shoikhet–Tsygan formality." Nuclear Physics B 921 (August 2017): 538–84. http://dx.doi.org/10.1016/j.nuclphysb.2017.06.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Liao, Hsuan-Yi, Mathieu Stiénon, and Ping Xu. "Formality and Kontsevich–Duflo type theorems for Lie pairs." Advances in Mathematics 352 (August 2019): 406–82. http://dx.doi.org/10.1016/j.aim.2019.04.047.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Shoikhet, Boris. "Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality." Advances in Mathematics 224, no. 3 (2010): 731–71. http://dx.doi.org/10.1016/j.aim.2009.12.010.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Yekutieli, Amnon. "The Continuous Hochschild Cochain Complex of a Scheme." Canadian Journal of Mathematics 54, no. 6 (2002): 1319–37. http://dx.doi.org/10.4153/cjm-2002-051-8.

Full text
Abstract:
AbstractLet X be a separated finite type scheme over a noetherian base ring . There is a complex of topological -modules, called the complete Hochschild chain complex of X. To any -module —not necessarily quasi-coherent—we assign the complex of continuous Hochschild cochains with values in . Our first main result is that when X is smooth over there is a functorial isomorphismin the derived category , where .The second main result is that if X is smooth of relative dimension n and n! is invertible in K, then the standard maps induce a quasi-isomorphismWhen this is the quasi-isomorphism underlyi
APA, Harvard, Vancouver, ISO, and other styles
8

Merkulov, Sergei, and Thomas Willwacher. "Classification of universal formality maps for quantizations of Lie bialgebras." Compositio Mathematica 156, no. 10 (2020): 2111–48. http://dx.doi.org/10.1112/s0010437x20007381.

Full text
Abstract:
We settle several fundamental questions about the theory of universal deformation quantization of Lie bialgebras by giving their complete classification up to homotopy equivalence. Moreover, we settle these questions in a greater generality: we give a complete classification of the associated universal formality maps. An important new technical ingredient introduced in this paper is a polydifferential endofunctor ${\mathcal {D}}$ in the category of augmented props with the property that for any representation of a prop ${\mathcal {P}}$ in a vector space $V$ the associated prop ${\mathcal {D}}{
APA, Harvard, Vancouver, ISO, and other styles
9

SHOJAEI-FARD, Ali. "Kontsevich Graphons." Kragujevac Journal of Mathematics 47, no. 2 (2023): 213–28. http://dx.doi.org/10.46793/kgjmat2302.213s.

Full text
Abstract:
The article applies graph functions to extend the Kontsevich differential graded Lie algebraic formalism (in Deformation Quantization) to infinite Kontsevich graphs on the basis of the Connes-Kreimer Hopf algebraic renormalization and the theory of noncommutative differential geometry.
APA, Harvard, Vancouver, ISO, and other styles
10

Arnal, D., D. Manchon, and M. Masmoudi. "Choix des signes pour la formalité de M. Kontsevich." Pacific Journal of Mathematics 203, no. 1 (2002): 23–66. http://dx.doi.org/10.2140/pjm.2002.203.23.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

YI, PILJIN. "CONSTRUCTIVE WALL-CROSSING AND SEIBERG–WITTEN." International Journal of Modern Physics A 28, no. 03n04 (2013): 1340005. http://dx.doi.org/10.1142/s0217751x13400058.

Full text
Abstract:
We outline a comprehensive and first-principle solution to the wall-crossing problem in D = 4N = 2 Seiberg–Witten theories. We start with a brief review of the multi-centered nature of the typical BPS states and of how this allows them to disappear abruptly as parameters or vacuum moduli are continuously changed. This means that the wall-crossing problem is really a bound state formation/dissociation problem. A low energy dynamics for arbitrary collections of dyons is derived, with the proximity to the so-called marginal stability wall playing the role of the small expansion parameter. We disc
APA, Harvard, Vancouver, ISO, and other styles
12

Willwacher, Thomas. "The Grothendieck–Teichmüller group action on differential forms and formality morphisms of chains." Journal für die reine und angewandte Mathematik (Crelles Journal) 2017, no. 726 (2017). http://dx.doi.org/10.1515/crelle-2014-0135.

Full text
Abstract:
AbstractIt is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. In the present paper, we show that this morphism may be extended to a Kontsevich–Shoikhet formality morphism of cochains and chains, by describing the action of the Grothendieck–Teichmüller group on such objects (up to homotopy).
APA, Harvard, Vancouver, ISO, and other styles
13

Hinich, Vladimir. "Tamarkins proof of Kontsevich formality theorem." Forum Mathematicum 15, no. 4 (2003). http://dx.doi.org/10.1515/form.2003.032.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Andersson, Assar, and Sergei Merkulov. "From Deformation Theory of Wheeled Props to Classification of Kontsevich Formality Maps." International Mathematics Research Notices, March 11, 2021. http://dx.doi.org/10.1093/imrn/rnab012.

Full text
Abstract:
Abstract We study the homotopy theory of the wheeled prop controlling Poisson structures on formal graded finite-dimensional manifolds and prove, in particular, that the Grothendieck–Teichmüller group acts on that wheeled prop faithfully and homotopy nontrivially. Next, we apply this homotopy theory to the study of the deformation complex of an arbitrary Kontsevich formality map and compute the full cohomology group of that deformation complex in terms of the cohomology of a certain graph complex introduced earlier by Kontsevich [ 3] and studied by Willwacher [ 18].
APA, Harvard, Vancouver, ISO, and other styles
15

Sharapov, Alexey, Evgeny Skvortsov, and Richard Van Dongen. "Strong homotopy algebras for chiral higher spin gravity via Stokes theorem." Journal of High Energy Physics 2024, no. 6 (2024). http://dx.doi.org/10.1007/jhep06(2024)186.

Full text
Abstract:
Abstract Chiral higher spin gravity is defined in terms of a strong homotopy algebra of pre-Calabi-Yau type (noncommutative Poisson structure). All structure maps are given by the integrals over the configuration space of concave polygons and the first two maps are related to the (Shoikhet-Tsygan-)Kontsevich Formality. As with the known formality theorems, we prove the A∞-relations via Stokes’ theorem by constructing a closed form and a configuration space whose boundary components lead to the A∞-relations. This gives a new way to formulate higher spin gravities and hints at a construct encomp
APA, Harvard, Vancouver, ISO, and other styles
16

Sharapov, Alexey, Evgeny Skvortsov, and Richard van Dongen. "Chiral higher spin gravity and convex geometry." SciPost Physics 14, no. 6 (2023). http://dx.doi.org/10.21468/scipostphys.14.6.162.

Full text
Abstract:
Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have closed subsectors and supports the 3d3d bosonization duality. In this letter, we explicitly construct an A_\inftyA∞-algebra that determines all interaction vertices of the theory. The algebra turns out to be of pre-Calabi-Yau type. The corresponding products, some of which originate from Shoikhet-Tsygan-Kontsevich formality, are given by integrals over the co
APA, Harvard, Vancouver, ISO, and other styles
17

Balduf, Paul-Hermann, and Davide Gaiotto. "Combinatorial proof of a non-renormalization theorem." Journal of High Energy Physics 2025, no. 5 (2025). https://doi.org/10.1007/jhep05(2025)120.

Full text
Abstract:
Abstract We provide a direct combinatorial proof of a Feynman graph identity which implies a wide generalization of a formality theorem by Kontsevich. For a Feynman graph Γ, we associate to each vertex a position x v ∈ ℝ and to each edge e the combination $$ {s}_e={a}_e^{-\frac{1}{2}}\left({x}_e^{+}-{x}_e^{-}\right) $$ s e = a e − 1 2 x e + − x e − , where $$ {x}_e^{\pm } $$ x e ± are the positions of the two end vertices of e, and a e is a Schwinger parameter. The “topological propagator” $$ {P}_e={e}^{-{s}_e^2}{\textrm{d}s}_e $$ P e = e − s e 2 d s e includes a part proportional to dx v and
APA, Harvard, Vancouver, ISO, and other styles
18

Gaiotto, Davide, Justin Kulp, and Jingxiang Wu. "Higher operations in perturbation theory." Journal of High Energy Physics 2025, no. 5 (2025). https://doi.org/10.1007/jhep05(2025)230.

Full text
Abstract:
Abstract We discuss the role of formal deformation theory in quantum field theories and present various “higher operations” which control their deformations, (generalized) OPEs, and anomalies. Particular attention is paid to holomorphic-topological theories where we systematically describe and regularize the Feynman diagrams which compute these higher operations in free and perturbative scenarios, including examples with defects. We prove geometrically that the resulting higher operations satisfy expected “quadratic axioms,” which can be interpreted physically as a form of Wess-Zumino consiste
APA, Harvard, Vancouver, ISO, and other styles
19

Abouzaid, Mohammed, Mark McLean, and Ivan Smith. "Gromov-Witten Invariants in Complex and Morava-Local K-Theories." Geometric and Functional Analysis, October 7, 2024. http://dx.doi.org/10.1007/s00039-024-00697-4.

Full text
Abstract:
AbstractGiven a closed symplectic manifold X, we construct Gromov-Witten-type invariants valued both in (complex) K-theory and in any complex-oriented cohomology theory $\mathbb{K}$ which is Kp(n)-local for some Morava K-theory Kp(n). We show that these invariants satisfy a version of the Kontsevich-Manin axioms, extending Givental and Lee’s work for the quantum K-theory of complex projective algebraic varieties. In particular, we prove a Gromov-Witten type splitting axiom, and hence define quantum K-theory and quantum $\mathbb{K}$-theory as commutative deformations of the corresponding (gener
APA, Harvard, Vancouver, ISO, and other styles
20

Visser, Matt. "Feynman’s iϵ prescription, almost real spacetimes, and acceptable complex spacetimes". Journal of High Energy Physics 2022, № 8 (2022). http://dx.doi.org/10.1007/jhep08(2022)129.

Full text
Abstract:
Abstract Feynman’s iϵ prescription for quantum field theoretic propagators has a quite natural reinterpretation in terms of a slight complex deformation of the Minkowski space-time metric. Though originally a strictly flat-space result, once reinterpreted in this way, these ideas can be naturally extended first to semi-classical curved-spacetime QFT on a fixed background geometry and then, (with more work), to fluctuating spacetime geometries. There are intimate connections with variants of the weak energy condition. We shall take the Lorentzian signature metric as primary, but note that allow
APA, Harvard, Vancouver, ISO, and other styles
21

Emmerson, Parker Yaohushuason. "Geometry of Phenomenological Velocity: Energy Numbers, Curvature and Fukaya-Type Categories." May 27, 2025. https://doi.org/10.5281/zenodo.15523017.

Full text
Abstract:
Thank you, Yaohushua for letting me continue to distribute these mathematical gesturing forms so interesting. The paper constructs an algebraic–geometric framework around the “phenomenological ve-locity” expression v = pN/D that arose in previous informal work. We introduce (i) theenergy-number field E, (ii) a non-commutative velocity-string algebra V, (iii) a curvature scalarKPV defined from a “PV–Hessian”, and (iv) a curved A∞ category Fukv (M ) obtained from anordinary Fukaya category by multiplication with v. Basic structural results are proved; se
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography