TY - JOUR
T1 - The Witten–Reshetikhin–Turaev invariant for links in finite order mapping tori I
AU - Andersen, Jørgen Ellegaard
AU - Himpel, Benjamin
AU - Jørgensen, Søren Fuglede
AU - Martens, Johan
AU - McLellan, Brendan Donald Kenneth
PY - 2017/1/2
Y1 - 2017/1/2
N2 - We state Asymptotic Expansion and Growth Rate conjectures for the Witten–Reshetikhin–Turaev invariants of arbitrary framed links in 3-manifolds, and we prove these conjectures for the natural links in mapping tori of finite-order automorphisms of marked surfaces. Our approach is based upon geometric quantisation of the moduli space of parabolic bundles on the surface, which we show coincides with the construction of the Witten–Reshetikhin–Turaev invariants.
AB - We state Asymptotic Expansion and Growth Rate conjectures for the Witten–Reshetikhin–Turaev invariants of arbitrary framed links in 3-manifolds, and we prove these conjectures for the natural links in mapping tori of finite-order automorphisms of marked surfaces. Our approach is based upon geometric quantisation of the moduli space of parabolic bundles on the surface, which we show coincides with the construction of the Witten–Reshetikhin–Turaev invariants.
KW - Asymptotic expansion conjecture
KW - Chern–Simons theory
KW - Gauge theory
KW - Growth rate conjecture
KW - TQFT
KW - Witten–Reshetikhin–Turaev link invariants
U2 - 10.1016/j.aim.2016.08.042
DO - 10.1016/j.aim.2016.08.042
M3 - Journal article
SN - 0001-8708
VL - 304
SP - 131
EP - 178
JO - Advances in Mathematics
JF - Advances in Mathematics
ER -