2 citations · 2 across the 4 of their papers we have counts for
9 papers
Framings and Projective Framings for 3-Manifolds
Tahl Nowik
We give an elementary proof of the fact that any orientable 3-manifold admits a framing (i.e. is parallelizable) and any non-orientable 3-manifold admits a projective framing. The…
Immersions of Non-orientable Surfaces
Tahl Nowik
Let F be a closed non-orientable surface. We classify all finite order invariants of immersions of F into R^3, with values in any Abelian group. We show they are all functions of t…
Formulae for order one invariants of immersions and embeddings of surfaces
Tahl Nowik
The universal order 1 invariant f^U of immersions of a closed orientable surface into R^3, whose existence has been established in [N3], takes values in the group G_U = K \oplus Z/…
Higher Order Invariants of Immersions of Surfaces into 3-Space
Tahl Nowik
We classify all finite order invariants of immersions of a closed orientable surface into R^3, with values in any Abelian group. We show that they are all functions of order one in…
Order One Invariants of Immersions
Tahl Nowik
We classify all order one invariants of immersions of a closed orientable surface F into R^3, with values in an arbitrary Abelian group G. We show that for any F and G and any regu…
Embeddings of Surfaces into 3-Space and Quadruple Points of Regular Homotopies
Tahl Nowik
Let F be a closed orientable surface. We give an explicit formula for the number mod 2 of quadruple points occurring in any generic regular homotopy between any two regularly homot…