Applications of Braid Theory

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Sigmoids are often precursors of Coronal Mass Ejections
Flux Tube Models Twisted Flux tubes have often been used in models of solar filaments and Coronal Mass Ejections. Could the Sigmoid x‐ray brightenings show the shape of these tubes? Low & Berger 2003: magnetostatic solutions with helical symmetry embedded in external field Unfortunately, these give the wrong sign! However, surrounding current concentrations can have the correct sign.
Page 1 and 2: Braids, Twist, Writhe, & Solar Acti
Page 3 and 4: Hemispheric Chirality Sunspot whorl
Page 5 and 6: For closed curves and fields: Magne
Page 7 and 8: global and regional helicities Let
Page 9 and 10: What if curves go up and down? 1. C
Page 11: Sigmoids Soft X‐ray brightenings
Page 15 and 16: (2004, 2005) Kliem & Török simula
Page 17 and 18: Linking, Twist, and Writhe Calugare
Page 19 and 20: A trefoil knot and its tantrix curv
Page 21 and 22: Helicity Decomposition Magnetic Hel
Page 23 and 24: This methods divides up a curve int
Page 25 and 26: Writhe can also be defined for loop
Page 27 and 28: Kinked Loop: Sine Height profile he

Applications of Braid Theory

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