Zobrazeno 1 - 10
of 746
pro vyhledávání: '"Getzler A"'
Autor:
Getzler, Ezra
We construct a natural morphism $\rho$ from the nerve $\text{MC}_\bullet(L) = \text{MC}(\Omega_\bullet \widehat{\otimes} L)$ of a pronilpotent curved L${}_\infty$-algebra $L$ to the simplicial subset $\gamma_\bullet(L) = \text{MC}(\Omega_\bullet \wid
Externí odkaz:
http://arxiv.org/abs/2408.11157
Autor:
Getzler, Ezra
Using a homotopy introduced by de Wilde and Lecomte and homological perturbation theory for $A_\infty$-algebras, we give an explicit proof that the universal enveloping algebra $UL$ of a differential graded Lie algebra $L$ is Koszul, via an explicit
Externí odkaz:
http://arxiv.org/abs/2405.14798
Autor:
Getzler, Ezra
We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formali
Externí odkaz:
http://arxiv.org/abs/2110.10209
Publikováno v:
PLoS Biology, Vol 22, Iss 4 (2024)
Externí odkaz:
https://doaj.org/article/d44f996c427243e1ac3135a5dda05ec8
Autor:
Fangming Zhu, Ryan J. McMonigle, Andrew R. Schroeder, Xianyou Xia, David Figge, Braxton D. Greer, Edahí González-Avalos, Diego O. Sialer, Yin-Hu Wang, Kelly M. Chandler, Adam J. Getzler, Emily R. Brown, Changchun Xiao, Olaf Kutsch, Yohsuke Harada, Matthew E. Pipkin, Hui Hu
Publikováno v:
Nature Communications, Vol 14, Iss 1, Pp 1-15 (2023)
Abstract Follicular helper T (Tfh) cells are essential for germinal center (GC) B cell responses. However, it is not clear which PD-1+CXCR5+Bcl6+CD4+ T cells will differentiate into PD-1hiCXCR5hiBcl6hi GC-Tfh cells and how GC-Tfh cell differentiation
Externí odkaz:
https://doaj.org/article/35c086446d634d7882db802bef9f3af3
Autor:
Getzler, Ezra, Pohorence, Sean Weinz
In the Batalin-Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in the space of fields and antifields. We discuss a way of patching together gauge conditions over different parts of the space of fields, and apply this m
Externí odkaz:
http://arxiv.org/abs/1911.11269
Autor:
Getzler, Ezra, Pohorence, Sean
Publikováno v:
Adv. Theor. Math. Phys., vol. 23 (2019), no. 6
We show that the classical Brink-Schwarz superparticle is a generalized AKSZ field theory. We work in the Batalin-Vilkovisky formalism: the main technical tool is the vanishing of Batalin--Vilkovisky cohomology below degree -1.
Comment: Publishe
Comment: Publishe
Externí odkaz:
http://arxiv.org/abs/1806.09021
Autor:
Getzler, Ezra
Let L be a (pro-nilpotent) curved L-infinity algebra, and let h be a homotopy between L and a subcomplex M. Using homotopical perturbation theory, Fukaya constructed from this data a curved L-infinity structure on M. We prove that projection from L t
Externí odkaz:
http://arxiv.org/abs/1802.06736
Autor:
Getzler, Ezra
Publikováno v:
Lett Math Phys (2019) 109: 187
We express covariance of the Batalin-Vilkovisky formalism in classical mechanics by means of the Maurer-Cartan equation in a curved Lie superalgebra, defined using the formal variational calculus and Sullivan's Thom-Whitney construction. We use this
Externí odkaz:
http://arxiv.org/abs/1801.04525
An efficient synthesis of the inimer gamma-(2-bromo-2-methylpropionate)-epsilon-caprolactone (BMPCL)
Autor:
Shannon E. Wright, Aidan Clarkson, Jenna M. Korns, Ellie Haljun, Lila Lofving, Meheret Ourgessa, Yutan D. Y. L. Getzler
Publikováno v:
Green Chemistry Letters and Reviews, Vol 15, Iss 3, Pp 683-688 (2022)
The original synthesis of gamma-(2-bromo-2-methylpropionate)-epsilon-caprolactone (BMPCL), in use since 1999, has an overall yield of 17% and uses a Cr(VI) reagent for a key oxidation. Despite these liabilities, this synthetic procedure has been repo
Externí odkaz:
https://doaj.org/article/3447ca9fcfa34776b5f200293836a85f