Titlebook: Lectures in Knot Theory; An Exploration of Co Józef H. Przytycki,Rhea Palak Bakshi,Deborah Weeks Textbook 2024 The Editor(s) (if applicable

頌揚(yáng)國(guó)家

The Witten-Reshetikhin-Turaev Invariants of 3-Manifolds,Edward Witten in his work on Chern-Simons gauge theory and topological quantum field theory. The invariants also have close connections to skein theory. In this lecture, we focus on W. B. Raymond Lickorish’s Kauffman bracket skein theoretic approach to the invariants. In the last section of this lec

accomplishment

Gram Determinants of Type , and Generalized Type ,d the closed formula for this invariant. Later, Xuanting Cai proved the formula using a special basis involving the Jones-Wenzl idempotent. By using Cai’s special basis, the first, second, and third authors, along with Mukherjee, proved a formula for the generalized type A bilinear form. In this lec

職業(yè)

Gram Determinants of Type , and Type , of this formula originally given by Q. Chen and the first author and heavily influenced by the work of W. B. Raymond Lickorish on the Witten-Reshetikhin-Turaev invariant of 3-manifolds. We then discuss the Gram determinant of type .b where the closure is taken in a M?bius band. We state some result

玩笑

lethal

a pinning algorithm is incorporated with the impulsive control approach. In Section 6.1, stabilization of time-delay neural networks is studied. Subsection 6.1.2 proposes a delay-dependent pinning impulsive controller to stabilize the neural networks with time-delay and sufficient conditions for sta

cleaver

泛濫

reflection

Comprise

Józef H. Przytycki,Rhea Palak Bakshi,Dionne Ibarra,Gabriel Montoya-Vega,Deborah Weeksa pinning algorithm is incorporated with the impulsive control approach. In Section 6.1, stabilization of time-delay neural networks is studied. Subsection 6.1.2 proposes a delay-dependent pinning impulsive controller to stabilize the neural networks with time-delay and sufficient conditions for sta

Fibrin

Józef H. Przytycki,Rhea Palak Bakshi,Dionne Ibarra,Gabriel Montoya-Vega,Deborah Weeksa pinning algorithm is incorporated with the impulsive control approach. In Section 6.1, stabilization of time-delay neural networks is studied. Subsection 6.1.2 proposes a delay-dependent pinning impulsive controller to stabilize the neural networks with time-delay and sufficient conditions for sta