#
Finite Type Invariants of Ribbon Knotted Balloons and Hoops

### Geneva Geometry and Topology Seminar, October 24, 2013

**Abstract.** On my September
17 Geneva talk I described a certain trees-and-wheels-valued
invariant of ribbon knotted loops and 2-spheres in 4-space, and my October 8 Geneva talk describes its reduction
to the Alexander polynomial. Today I will explain how that same invariant
arises completely naturally within the theory of finite type invariants
of ribbon knotted loops and 2-spheres in 4-space.

This talk will be self-contained and the only prerequisites for it are some
basic linear algebra and having no fear of exponentials.

See the paper.

**Handout:**
KBHFT.html,
KBHFT.pdf,
KBHFT.png.

**Talk video:**

**Sources:** pensieve.