Results 41 to 50 of about 7,136,334 (313)
The APS-index and the spectral flow [PDF]
Operators and Matrices, 2019 An equality between the spectral flow of a family $A$ of self-adjoint Fredholm operators and the index of the associated differential operator $\frac{d}{dt}-iA$ with Atiyah-Patodi-Singer-style boundary conditions is shown.
Lennart Ronge
semanticscholar +1 more source
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of SU(2) connections [PDF]
, 2004 We establish a splitting formula for the spectral flow of the odd signature operator on a closed 3-manifold M coupled to a path of SU(2) connections, provided M = S cup X, where S is the solid torus.
Himpel, Benjamin
core +7 more sources
Cytometry Part A, 2020 The arrival of mass cytometry (MC) and, more recently, spectral flow cytometry (SFC) has revolutionized the study of cellular, functional and phenotypic diversity, significantly increasing the number of characteristics measurable at the single-cell level.
L. Ferrer-Font +5 more
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On a comparison principle and the uniqueness of spectral flow [PDF]
Mathematische Nachrichten, 2019 The spectral flow is a well‐known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold.
Maciej Starostka, Nils Waterstraat
semanticscholar +1 more source
Unbounded Fredholm Operators and Spectral Flow [PDF]
Canadian Journal of Mathematics, 2005 AbstractWe study the gap (= “projection norm” = “graph distance”) topology of the space of all (not necessarily bounded) self-adjoint Fredholm operators in a separable Hilbert space by the Cayley transformand direct methods. In particular, we show the surprising result that this space is connected in contrast to the bounded case. Moreover, we present a
Booss-Bavnbek, Bernhelm +2 more
openaire +2 more sources
, 2023 This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semi finite sense. The importance of spectral flow for homotopy and index theory are discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices,
Doll, Nora +2 more
openaire +2 more sources
The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds [PDF]
, 1998 We study the spectral flow of the hermitian Wilson-Dirac operator $\ham(m)$ as a function of $m$ in smooth SU(2) instanton backgrounds on the lattice.
'tHooft +17 more
core +2 more sources
Spectral Flow Argument Localizing an Odd Index Pairing [PDF]
Canadian mathematical bulletin, 2018 An odd Fredholm module for a given invertible operator on a Hilbert space is specified by an unbounded so-called Dirac operator with compact resolvent and bounded commutator with the given invertible.
T. Loring, H. Schulz-Baldes
semanticscholar +1 more source
Spectral Flows Associated to Flux Tubes [PDF]
Annales Henri Poincaré, 2014 When a flux quantum is pushed through a gapped two-dimensional tight-binding operator, there is an associated spectral flow through the gap which is shown to be equal to the index of a Fredholm operator encoding the topology of the Fermi projection. This is a natural mathematical formulation of Laughlin's Gedankenexperiment.
De Nittis, Giuseppe +1 more
openaire +2 more sources
The Maslov index and the spectral flow—revisited [PDF]
Fixed Point Theory and Applications, 2018 We give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of self-adjoint first-order operators.We particularly pay ...
M. Izydorek +2 more
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