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math.QA2026
Chern-Simons factorization algebras and knot polynomials
Kevin Costello, John Francis, Owen Gwilliam
This work identifies the Reshetikhin-Turaev invariant of links in terms of a trace map on factorization homology. In particular, to recover the knot invariants associated to Chern-…
math.QA2021
Large phenomena and quantization of the Loday-Quillen-Tsygan theorem
Grégory Ginot, Owen Gwilliam, Alastair Hamilton +1
We offer a new approach to large limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits…
math.QA2018
Higher Kac-Moody algebras and symmetries of holomorphic field theories
Owen Gwilliam, Brian R. Williams
We introduce a higher dimensional generalization of the affine Kac-Moody algebra using the language of factorization algebras. In particular, on any complex manifold there is a fac…