Matches in SemOpenAlex for { <https://semopenalex.org/work/W3214542897> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W3214542897 abstract "One way of reconciling classical and quantum mechanics is deformation quantization, which involves deforming the commutative algebra of functions on a Poisson manifold to a non-commutative, associative algebra, reminiscent of the space of quantum observables. This depends on a formal parameter $hbar$, so that the original pointwise product is recovered when $hbar=0$. In 1997 Kontsevich showed that a deformation quantization exists for every Poisson manifold. He furthermore gave a simple, combinatorial formula for producing a quantization of any Poisson structure on $mathbb{R}^n$. The primary aim of this essay, largely drawn from the author's MMath dissertation at Oxford, is to present and explain Kontsevich's results. Starting with the motivation, we discuss how the problem is solved by situating it in a richer mathematical structure, performing a few original calculations along the way. We hope to communicate a sense of the strange links between this subject and seemingly distant areas of mathematics, and also to describe some of the contemporary research in the field. To these ends, we consider a recent paper, arXiv:1812.11649 [math.QA], which connects deformation quantization to multiple zeta values." @default.
- W3214542897 created "2021-11-22" @default.
- W3214542897 creator A5007349532 @default.
- W3214542897 date "2021-11-11" @default.
- W3214542897 modified "2023-09-23" @default.
- W3214542897 title "Kontsevich's deformation quantization: from Dirac to multiple zeta values" @default.
- W3214542897 cites W1420423184 @default.
- W3214542897 cites W1521995490 @default.
- W3214542897 cites W1527821052 @default.
- W3214542897 cites W1552385164 @default.
- W3214542897 cites W1612588487 @default.
- W3214542897 cites W1641382283 @default.
- W3214542897 cites W1674509776 @default.
- W3214542897 cites W1965075382 @default.
- W3214542897 cites W2004671711 @default.
- W3214542897 cites W2026661162 @default.
- W3214542897 cites W2071417479 @default.
- W3214542897 cites W2103154631 @default.
- W3214542897 cites W2112466733 @default.
- W3214542897 cites W2116569144 @default.
- W3214542897 cites W2182690579 @default.
- W3214542897 cites W2997726750 @default.
- W3214542897 cites W301672367 @default.
- W3214542897 cites W3098408076 @default.
- W3214542897 cites W3133809144 @default.
- W3214542897 doi "https://doi.org/10.48550/arxiv.2111.06392" @default.
- W3214542897 hasPublicationYear "2021" @default.
- W3214542897 type Work @default.
- W3214542897 sameAs 3214542897 @default.
- W3214542897 citedByCount "0" @default.
- W3214542897 crossrefType "posted-content" @default.
- W3214542897 hasAuthorship W3214542897A5007349532 @default.
- W3214542897 hasBestOaLocation W32145428971 @default.
- W3214542897 hasConcept C100906024 @default.
- W3214542897 hasConcept C105795698 @default.
- W3214542897 hasConcept C108568745 @default.
- W3214542897 hasConcept C11413529 @default.
- W3214542897 hasConcept C121332964 @default.
- W3214542897 hasConcept C127413603 @default.
- W3214542897 hasConcept C134306372 @default.
- W3214542897 hasConcept C136119220 @default.
- W3214542897 hasConcept C137212723 @default.
- W3214542897 hasConcept C158913796 @default.
- W3214542897 hasConcept C168619227 @default.
- W3214542897 hasConcept C183778304 @default.
- W3214542897 hasConcept C188845816 @default.
- W3214542897 hasConcept C197375991 @default.
- W3214542897 hasConcept C202444582 @default.
- W3214542897 hasConcept C2777984123 @default.
- W3214542897 hasConcept C28855332 @default.
- W3214542897 hasConcept C32848918 @default.
- W3214542897 hasConcept C33332235 @default.
- W3214542897 hasConcept C33923547 @default.
- W3214542897 hasConcept C51568863 @default.
- W3214542897 hasConcept C529865628 @default.
- W3214542897 hasConcept C62520636 @default.
- W3214542897 hasConcept C78519656 @default.
- W3214542897 hasConcept C84114770 @default.
- W3214542897 hasConceptScore W3214542897C100906024 @default.
- W3214542897 hasConceptScore W3214542897C105795698 @default.
- W3214542897 hasConceptScore W3214542897C108568745 @default.
- W3214542897 hasConceptScore W3214542897C11413529 @default.
- W3214542897 hasConceptScore W3214542897C121332964 @default.
- W3214542897 hasConceptScore W3214542897C127413603 @default.
- W3214542897 hasConceptScore W3214542897C134306372 @default.
- W3214542897 hasConceptScore W3214542897C136119220 @default.
- W3214542897 hasConceptScore W3214542897C137212723 @default.
- W3214542897 hasConceptScore W3214542897C158913796 @default.
- W3214542897 hasConceptScore W3214542897C168619227 @default.
- W3214542897 hasConceptScore W3214542897C183778304 @default.
- W3214542897 hasConceptScore W3214542897C188845816 @default.
- W3214542897 hasConceptScore W3214542897C197375991 @default.
- W3214542897 hasConceptScore W3214542897C202444582 @default.
- W3214542897 hasConceptScore W3214542897C2777984123 @default.
- W3214542897 hasConceptScore W3214542897C28855332 @default.
- W3214542897 hasConceptScore W3214542897C32848918 @default.
- W3214542897 hasConceptScore W3214542897C33332235 @default.
- W3214542897 hasConceptScore W3214542897C33923547 @default.
- W3214542897 hasConceptScore W3214542897C51568863 @default.
- W3214542897 hasConceptScore W3214542897C529865628 @default.
- W3214542897 hasConceptScore W3214542897C62520636 @default.
- W3214542897 hasConceptScore W3214542897C78519656 @default.
- W3214542897 hasConceptScore W3214542897C84114770 @default.
- W3214542897 hasLocation W32145428971 @default.
- W3214542897 hasOpenAccess W3214542897 @default.
- W3214542897 hasPrimaryLocation W32145428971 @default.
- W3214542897 hasRelatedWork W1567781995 @default.
- W3214542897 hasRelatedWork W2080792771 @default.
- W3214542897 hasRelatedWork W2225267278 @default.
- W3214542897 hasRelatedWork W2602173396 @default.
- W3214542897 hasRelatedWork W2790055418 @default.
- W3214542897 hasRelatedWork W2952126010 @default.
- W3214542897 hasRelatedWork W4282007176 @default.
- W3214542897 hasRelatedWork W4298022563 @default.
- W3214542897 hasRelatedWork W4309738299 @default.
- W3214542897 hasRelatedWork W4226345494 @default.
- W3214542897 isParatext "false" @default.
- W3214542897 isRetracted "false" @default.
- W3214542897 magId "3214542897" @default.
- W3214542897 workType "article" @default.