WebApr 7, 2024 · Download PDF Abstract: Given a Legendrian knot in $(\mathbb{R}^3, \ker(dz-ydx))$ one can assign a combinatorial invariants called ruling polynomials. These invariants have been shown to recover not only a (normalized) count of augmentations but are also closely related to a categorical count of augmentations in the form of the homotopy … Web11. If α and β are the zeroes of x 2 + px + q then find the value of (3 marks) 12. Find the zeroes of 2x 2 – 8x + 6. (3 marks) 13. Find the value of ‘k’ such that the quadratic …
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[2304.03761] The homotopy cardinality of the representation …
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