53 citations · 291 across the 36 of their papers we have counts for
4 papers · 1 filter
On the Frohman Kania-Bartoszynska ideal
Patrick M. Gilmer
The Frohman Kania-Bartoszynska ideal is an invariant associated to a 3-manifold with boundary and a prime p >3. We give some estimates of this ideal. We also calculate this invaria…
Integral Lattices in TQFT
Patrick M. Gilmer, Gregor Masbaum
We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO(3) TQFT-modules of surfaces at roots of unity of odd prime order. Some application…
On the Kauffman bracket skein module of the quaternionic manifold
Patrick M. Gilmer, John M. Harris
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A,A^{-1}] localized by inverting all the cyclotomic polynomials. We prove th…
The parity of the Maslov index and the even cobordism category
Patrick M. Gilmer, Khaled Qazaqzeh
We give a formula for the parity of the Maslov index of a triple of Lagrangian subspaces of a skew symmetric bilinear form over the real numbers. We define an index two subcategory…