Zobrazeno 1 - 10 of 50 pro vyhledávání: '"Maxim Braverman"'
1
Dynamics of the most common pathogenic mtDNA variant m.3243A > G demonstrate frequency-dependency in blood and positive selection in the germline
Autor: Konstantin Khrapko, Zoe Fleischmann, Maxim Braverman, Markuzon N, Jonathan L. Tilly, Douglass M. Turnbull, Sarah J Pickett, David Stein, Dori C. Woods, Konstantin Popadin, Mark Khrapko, D. Aidlen, Melissa Franco
Publikováno v: Human Molecular Genetics. 31:4075-4086
The A-to-G point mutation at position 3243 in the human mitochondrial genome (m.3243A > G) is the most common pathogenic mtDNA variant responsible for disease in humans. It is widely accepted that m.3243A > G levels decrease in blood with age, and an
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a839a2f5c569df08360250b0e656a392
https://doi.org/10.1093/hmg/ddac149
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4
Geometric quantization of $b$-symplectic manifolds
Autor: Yiannis Loizides, Yanli Song, Maxim Braverman
Publikováno v: Journal of Symplectic Geometry. 19:1-36
We introduce a method of geometric quantization for compact $b$-symplectic manifolds in terms of the index of an Atiyah-Patodi-Singer (APS) boundary value problem. We show further that b-symplectic manifolds have canonical Spin-c structures in the us
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fa57bdbd06346e280336b82d39530b9
https://doi.org/10.4310/jsg.2021.v19.n1.a1
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6
The Atiyah–Patodi–Singer Index on Manifolds with Non-compact Boundary
Autor: Maxim Braverman, Pengshuai Shi
Publikováno v: The Journal of Geometric Analysis. 31:3713-3763
We study the index of the APS boundary value problem for a strongly Callias-type operator $${\mathcal {D}}$$ on a complete Riemannian manifold M. We show that this index is equal to an index on a simpler manifold whose boundary is a disjoint union of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::21c1b26b58f49793c368b4fa8462bb86
https://doi.org/10.1007/s12220-020-00412-3
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8
Spectral flows of Toeplitz operators and bulk-edge correspondence
Autor: Maxim Braverman
Publikováno v: Letters in Mathematical Physics. 109:2271-2289
We show that the (graded) spectral flow of a family of Toeplitz operators on a complete Riemannian manifold is equal to the index of a certain Callias-type operator. When the dimension of the manifold is even, this leads to a cohomological formula fo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bf0e5a8246ea3d2d1204f8c9910a3f45
https://doi.org/10.1007/s11005-019-01187-7
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9
The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators
Autor: Pengshuai Shi, Maxim Braverman
Publikováno v: Arnold Mathematical Journal. 5:79-96
We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary value problem for a strongly Callias-type operator on M. Our result ext
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7923ff7322b59f6700065d35e1643122
https://doi.org/10.1007/s40598-019-00110-1
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10
Callias-Type Operators in von Neumann Algebras
Autor: Simone Cecchini, Maxim Braverman
Publikováno v: The Journal of Geometric Analysis. 28:546-586
We study differential operators on complete Riemannian manifolds which act on sections of a bundle of finite type modules over a von Neumann algebra with a trace. We prove a relative index and a Callias-type index theorems for von Neumann indexes of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a06c6581607742f0f47e05f81b1ba3cd
https://doi.org/10.1007/s12220-017-9832-1
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