Results 11 to 20 of about 30,815 (296)

Spectral sequences in string topology [PDF]

Algebraic & Geometric Topology, 2011
In this paper, we investigate the behavior of the Serre spectral sequence with respect to the algebraic structures of string topology in generalized homology theories, specifically with the Chas-Sullivan product and the corresponding coproduct and module
Meier, Lennart, Fundamental mathematics, Sub Fundamental Mathematics   +2 more
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Phonon topology and winding of spectral weight in graphite

Physical Review Letters, 2023
The topology of electronic and phonon band structures of graphene is well studied and known to exhibit a Dirac cone at the K point of the Brillouin zone.
Rahn, M. C., Sukhanov, A. S., Nikitin, S. E., Korshunov, A. N., Pavlovskii, M. S., Andriushin, N. D.   +5 more
core   +3 more sources

Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit

Physical Review X
Topology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of electrical ...
Peyruchat, L., Smirr, J. -L., Girit, Ç. Ö., Leone, R., Rodriguez, R. H.   +4 more
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Spectral Quantitative Analysis Model with Combining Wavelength Selection and Topology Structure Optimization

Journal of Spectroscopy, 2016
Spectroscopy is an efficient and widely used quantitative analysis method. In this paper, a spectral quantitative analysis model with combining wavelength selection and topology structure optimization is proposed. For the proposed method, backpropagation
Yajie Yu, Hui Cao, Boyan Cai, Qian Wang
core   +2 more sources

Manipulating spectral topology and exceptional points by nonlinearity in non-Hermitian polariton systems

Physical Review Research
Exceptional points (EPs), with their intriguing spectral topology, have attracted considerable attention in a broad range of physical systems, with potential sensing applications driving much of the present research in this field.
Wingenbach, J., Schumacher, S., Xuekai Ma, Jan Wingenbach, Ma, X., Stefan Schumacher   +5 more
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‎Pure Ideals in Residuated Lattices [PDF]

Transactions on Fuzzy Sets and Systems, 2022
Ideals in MV algebras are‎, ‎by definition‎, ‎kernels of homomorphism‎. ‎An ideal is the dual of a filter in some special logical algebras but not in non-regular residuated lattices‎.
Istrata Mihaela
doaj   +1 more source

Emergence of two-fold non-Hermitian spectral topology through synthetic spin engineering

New Journal of Physics
The union of topology and non-Hermiticity has led to the unveiling of many intriguing phenomena. We introduce a synthetic spin-engineered model belonging to symmetry class AI, which is a rare occurrence, and demonstrate the emergence of a multi-fold ...
Banerjee, Ayan, Narayan, Awadhesh, Sarkar, Ronika   +2 more
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Machine‐Learning Spectral Indicators of Topology [PDF]

Advanced Materials, 2022
AbstractTopological materials discovery has emerged as an important frontier in condensed matter physics. While theoretical classification frameworks have been used to identify thousands of candidate topological materials, experimental determination of materials’ topology often poses significant technical challenges. X‐ray absorption spectroscopy (XAS)
Nina Andrejevic, Jovana Andrejevic, B. Andrei Bernevig, Nicolas Regnault, Fei Han, Gilberto Fabbris, Thanh Nguyen, Nathan C. Drucker, Chris H. Rycroft, Mingda Li   +9 more
openaire   +5 more sources

Genomics data analysis via spectral shape and topology.

PLoS ONE, 2023
Mapper, a topological algorithm, is frequently used as an exploratory tool to build a graphical representation of data. This representation can help to gain a better understanding of the intrinsic shape of high-dimensional genomic data and to retain ...
Erik J Amézquita, Farzana Nasrin, Kathleen M Storey, Masato Yoshizawa   +3 more
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Eigenvalue knots and their isotopic equivalence in three-state non-Hermitian systems

Physical Review Research, 2023
The spectrum of a non-Hermitian system generically forms a two-dimensional complex Riemannian manifold with a distinct topology from the underlying parameter space. This spectral topology permits eigenvalue trajectories to braid into knots. In this paper,
Zhen Li, Kun Ding, Guancong Ma
doaj   +1 more source