Reverse engineering small 4-manifolds

By R. Fintushel, B. D. Park, Ronald J. Stern. 2007

66 citations recorded by the source corpus.

We introduce a general procedure called `reverse engineering' that can be used to construct infinite families of smooth 4-manifolds in a given homeomorphism type. As one of the applications of this technique, we produce an infinite family of pairwise nondiffeomorphic 4-manifolds homeomorphic to CP^2#3(-CP^2).

Subfields: Geometry and Topology, Mathematical Physics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/32518dd025ea55b80ca99795118a36dc6a783955

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Doug Park
2. Anar Akhmedov
3. R. Baykur
4. B. Park
5. Yankı Lekili

In Mathematical Physics

1. Doug Park
2. Anar Akhmedov
3. R. Baykur
4. B. Park
5. Yankı Lekili

In Mechanical Engineering

1. Anar Akhmedov
2. R. Baykur
3. B. Park
4. Doug Park

Citations in the corpus

• Constructing infinitely many smooth structures on small 4‐manifolds (2007, methodology): “This aspect also agrees with the terminology ‘reverse engineering’ suggested for this approach in a general manner by Fintushel and Stern [6, 28].”
• Exotic smooth structures on small 4-manifolds with odd signatures (2007, methodology): “The relation αq3 = [α −1 1 , α −1 4 ] follows from the definition of (α ′ 2 × α ′ 3, α ′ 3,−1/q) surgery, once we realize that {α2, α3; [α −1 1 , α −1 4 ]} is a “distinguished triple of loops” in the terminology of [10].”