Results 11 to 20 of about 2,844 (99)

Grassmannian and string theory [PDF]

, 1996
Infinite-dimensional Grassmannian manifold contains moduli spaces of Riemann surfaces of all genera. This well known fact leads to a conjecture that non-perturbative string theory can be formulated in terms of Grassmannian.
Schwarz, Albert
core   +2 more sources

Semi-Fredholm theory on Hilbert $C^{*}$ -modules [PDF]

Banach Journal of Mathematical Analysis, 2019
In this paper we establish the semi-Fredholm theory on Hilbert C*-modules as a continuation of Fredholm theory on Hilbert C*-modules established by Mishchenko and Fomenko.
S. Ivković
semanticscholar   +1 more source

Fredholm operators and essential S-spectrum in the quaternionic setting [PDF]

Journal of Mathematics and Physics, 2018
For bounded right linear operators, in a right quaternionic Hilbert space with a left multiplication defined on it, we study the approximate $S$-point spectrum. In the same Hilbert space, then we study the Fredholm operators and the Fredholm index.
B. Muraleetharan, K. Thirulogasanthar
semanticscholar   +1 more source

D-Brane Bound States Redux [PDF]

, 1997
We study the existence of D-brane bound states at threshold in Type II string theories. In a number of situations, we can reduce the question of existence to quadrature, and the study of a particular limit of the propagator for the system of D-branes ...
Sethi, Savdeep, Stern, Mark
core   +2 more sources

Samuel multiplicity and the structure of semi-Fredholm operators

, 2004
Two numerical invariants refining the Fredholm index are introduced for any semi-Fredholm operator in such a way that their difference calculates the Fredholm index. These two invariants are inspired by Samuel multiplicity in commutative algebra, and can
X. Fang
semanticscholar   +1 more source

Supergrassmannian and large N limit of quantum field theory with bosons and fermions [PDF]

, 2001
We study a large N_{c} limit of a two-dimensional Yang-Mills theory coupled to bosons and fermions in the fundamental representation. Extending an approach due to Rajeev we show that the limiting theory can be described as a classical Hamiltonian system ...
Anatoly Konechny, Aoki K., Aoki K., Bardeen W. A., Bedaque P., Callan C. G., Cavicchi M., Dhar A., Dhar A., Einhorn M. B., Einhorn M. B., Halpern M. B., Halpern M. B., Halpern M. B., Langmann E., Lunin O., O. Teoman Turgut, Pak N. K., Rajeev S. G., Rajeev S. G., Rajeev S. G., Shei S. S., Tomaras T. N., Turgut O. T.   +23 more
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SEMI-FREDHOLM OPERATORS AND LOCAL SPECTRAL THEORY

, 1995
Observe that T(X) is closed if T G $-(X) [3, Satz 55.4], tf>±(X) = 0 ...
C. Schmoeger
semanticscholar   +1 more source

Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics [PDF]

, 2004
The gravitational anomalies are investigated for generalized Euclidean Taub-NUT metrics which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem. In order to evaluate the axial anomalies, the index of the Dirac operator
Atiyah M F, Atiyah M F, Booß-Bavnbek B, Cariglia M, Cotăescu I I, Cotăescu I I, Cotăescu I I, Ion I Cotaescu, Iwai T, Lauter R, Mazzeo R R, Melrose R B, Mihai Visinescu, Miyake Y, Peeters K, Röomer H, Savin A Y, Savin A Y, Savin A Y, Sergiu Moroianu, Vaillant B, Visinescu M   +21 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Fredholm Indices and the Phase Diagram of Quantum Hall Systems

, 2000
The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic ``phase diagram'' of Fredholm indices associated with bounded and Toeplitz operators.
Atiyah M., Dana I., Dyson F., Huckenstein B., J. E. Avron, Kreft C., Kunz H., L. Sadun, Liu D.Z., Sheng D.N., Tan Y., Thouless D.J., van Mouches P.H.M., von Neumann J.   +13 more
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