Corpus ID: 219687071

Categorifying Biquandle Brackets

@article{Vengal2020CategorifyingBB,
  title={Categorifying Biquandle Brackets},
  author={Adu Vengal and Vilas Winstein},
  journal={arXiv: Quantum Algebra},
  year={2020}
}
  • Adu Vengal, Vilas Winstein
  • Published 2020
  • Mathematics
  • arXiv: Quantum Algebra
  • In their paper entitled "Quantum Enhancements and Biquandle Brackets," Nelson, Orrison, and Rivera introduced biquandle brackets, which are customized skein invariants for biquandle-colored links. These invariants generalize the Jones polynomial, which is categorified by Khovanov homology. At the end of their paper, Nelson, Orrison, and Rivera asked if the methods of Khovanov homology could be extended to obtain a categorification of biquandle brackets. We outline herein a Khovanov homology… CONTINUE READING

    References

    SHOWING 1-8 OF 8 REFERENCES
    The Structure of Biquandle Brackets
    • 1
    • PDF
    Quantum Enhancements and Biquandle Brackets
    • 16
    • Highly Influential
    • PDF
    On Khovanov’s categorification of the Jones polynomial
    • 403
    • PDF
    Augmented biracks and their homology
    • 22
    • PDF
    Graded Rings and Graded Grothendieck Groups
    • 57
    • PDF
    A Categorification of the Jones Polynomial
    • 297
    • Highly Influential
    Algebraic Topology
    • 7,551
    • PDF
    Quandles, volume 74
    • American Mathematical Soc.,
    • 2015