Academic literature on the topic 'Grid homology'

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Journal articles on the topic "Grid homology"

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Droz, Jean-Marie, and Emmanuel Wagner. "Grid diagrams and Khovanov homology." Algebraic & Geometric Topology 9, no. 3 (2009): 1275–97. http://dx.doi.org/10.2140/agt.2009.9.1275.

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Shin, Moon-Kyun, Hyun-Ah Lee, Jae-Jun Lee, Ki-Nam Song, and Gyung-Jin Park. "ICONE15-10366 Optimization of a Nuclear Fuel Spacer Grid Spring Using Homology Constraints." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2007.15 (2007): _ICONE1510. http://dx.doi.org/10.1299/jsmeicone.2007.15._icone1510_186.

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Cavallo, Alberto. "The concordance invariant tau in link grid homology." Algebraic & Geometric Topology 18, no. 4 (2018): 1917–51. http://dx.doi.org/10.2140/agt.2018.18.1917.

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Ramyachitra, D., and P. Pradeep Kumar. "Frog leap algorithm for homology modelling in grid environment." International Journal of Grid and Utility Computing 7, no. 1 (2016): 29. http://dx.doi.org/10.1504/ijguc.2016.073775.

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Shin, M. K., H. A. Lee, J. J. Lee, K. N. Song, and G. J. Park. "Optimization of a nuclear fuel spacer grid spring using homology constraints." Nuclear Engineering and Design 238, no. 10 (2008): 2624–34. http://dx.doi.org/10.1016/j.nucengdes.2008.04.003.

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Dey, Subhankar, and Hakan Doğa. "A combinatorial description of the knot concordance invariant epsilon." Journal of Knot Theory and Its Ramifications 30, no. 06 (2021): 2150036. http://dx.doi.org/10.1142/s021821652150036x.

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In this paper, we give a combinatorial description of the concordance invariant [Formula: see text] defined by Hom, prove some properties of this invariant using grid homology techniques. We compute the value of [Formula: see text] for [Formula: see text] torus knots and prove that [Formula: see text] if [Formula: see text] is a grid diagram for a positive braid. Furthermore, we show how [Formula: see text] behaves under [Formula: see text]-cabling of negative torus knots.
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Wong, Michael. "Grid diagrams and Manolescu’s unoriented skein exact triangle for knot Floer homology." Algebraic & Geometric Topology 17, no. 3 (2017): 1283–321. http://dx.doi.org/10.2140/agt.2017.17.1283.

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Kaczynski, Tomasz, Marian Mrozek, and Anik Trahan. "Ideas from Zariski Topology in the Study of Cubical Homology." Canadian Journal of Mathematics 59, no. 5 (2007): 1008–28. http://dx.doi.org/10.4153/cjm-2007-043-3.

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AbstractCubical sets and their homology have been used in dynamical systems as well as in digital imaging. We take a fresh look at this topic, following Zariski ideas from algebraic geometry. The cubical topology is defined to be a topology in ℝd in which a set is closed if and only if it is cubical. This concept is a convenient frame for describing a variety of important features of cubical sets. Separation axioms which, in general, are not satisfied here, characterize exactly those pairs of points which we want to distinguish. The noetherian property guarantees the correctness of the algorit
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Naumann, Robert K., Patricia Preston-Ferrer, Michael Brecht, and Andrea Burgalossi. "Structural modularity and grid activity in the medial entorhinal cortex." Journal of Neurophysiology 119, no. 6 (2018): 2129–44. http://dx.doi.org/10.1152/jn.00574.2017.

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Following the groundbreaking discovery of grid cells, the medial entorhinal cortex (MEC) has become the focus of intense anatomical, physiological, and computational investigations. Whether and how grid activity maps onto cell types and cortical architecture is still an open question. Fundamental similarities in microcircuits, function, and connectivity suggest a homology between rodent MEC and human posteromedial entorhinal cortex. Both are specialized for spatial processing and display similar cellular organization, consisting of layer 2 pyramidal/calbindin cell patches superimposed on scatt
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Maršálek, Roman, Radim Zedka, Erich Zöchmann, et al. "Persistent Homology Approach for Human Presence Detection from 60 GHz OTFS Transmissions." Sensors 23, no. 4 (2023): 2224. http://dx.doi.org/10.3390/s23042224.

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Orthogonal Time Frequency Space (OTFS) is a new, promising modulation waveform candidate for the next-generation integrated sensing and communication (ISaC) systems, providing environment-awareness capabilities together with high-speed wireless data communications. This paper presents the original results of OTFS-based person monitoring measurements in the 60 GHz millimeter-wave frequency band under realistic conditions, without the assumption of an integer ratio between the actual delays and Doppler shifts of the reflected components and the corresponding resolution of the OTFS grid. As the m
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Dissertations / Theses on the topic "Grid homology"

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Tombari, Francesca. "Deformation of surfaces in 2D persistent homology." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15809/.

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In the context of 2D persistent homology a new metric has been recently introduced, the coherent matching distance. In order to study this metric, the filtering function is required to present particular “regularity” properties, based on a geometrical construction of the real plane, called extended Pareto grid. This dissertation shows a new result for modifying the extended Pareto grid associated to a filtering function defined on a smooth closed surface, with values in the real plane. In future, the technical result presented here could be used to prove the genericity of the regularity condit
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Afzelius, Lovisa. "Computational Modelling of Structures and Ligands of CYP2C9." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ-bibl. [distributör], 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4016.

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CELORIA, DANIELE. "Grid homology in lens spaces." Doctoral thesis, 2016. http://hdl.handle.net/2158/1039024.

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Wong, C. M. Michael. "Unoriented skein relations for grid homology and tangle Floer homology." Thesis, 2017. https://doi.org/10.7916/D8251WN1.

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Grid homology is a combinatorial version of knot Floer homology. In a previous thesis, the author established an unoriented skein exact triangle for grid homology, giving a combinatorial proof of Manolescu’s unoriented skein exact triangle for knot Floer homology, and extending Manolescu’s result from Z/2Z coefficients to coefficients in any commutative ring. In Part II of this dissertation, after recalling the combinatorial proof mentioned above, we track the delta-gradings of the maps involved in the skein exact triangle, and use them to establish the Floer-homological sigma-thinness o
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Books on the topic "Grid homology"

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Wong, C. M. Michael. Unoriented skein relations for grid homology and tangle Floer homology. [publisher not identified], 2017.

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András, Stipsicz, and Szabó Zoltán 1965-, eds. Grid homology for knots and links. American Mathematical Society, 2015.

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Ozsváth, Peter S., András I. Stipsicz, and Zoltán Szabó. Grid Homology for Knots and Links. American Mathematical Society, 2015.

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Book chapters on the topic "Grid homology"

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"Grid homology." In Mathematical Surveys and Monographs. American Mathematical Society, 2015. http://dx.doi.org/10.1090/surv/208/04.

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"Grid homology for links." In Mathematical Surveys and Monographs. American Mathematical Society, 2015. http://dx.doi.org/10.1090/surv/208/11.

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"The invariance of grid homology." In Mathematical Surveys and Monographs. American Mathematical Society, 2015. http://dx.doi.org/10.1090/surv/208/05.

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"Basic properties of grid homology." In Mathematical Surveys and Monographs. American Mathematical Society, 2015. http://dx.doi.org/10.1090/surv/208/07.

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"Grid homology over the integers." In Mathematical Surveys and Monographs. American Mathematical Society, 2015. http://dx.doi.org/10.1090/surv/208/15.

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