2 papers
math.AT2025
Some non-trivial cycles of the space of long embeddings detected by configuration space integral invariants using g-loop (g =2, 3) graphs
Leo Yoshioka
In this paper, we give some non-trivial geometric cycles of the space of long embeddings R^j --> R^n (n-j >= 2) modulo immersions. We construct a class of cycles from specific chor…
math.GT2024
Cocycles of the space of long embeddings and BCR graphs with more than one loop
Leo Yoshioka
The purpose of this paper is to construct non-trivial cocycles of the space of long embeddings. We construct the cocycles by integral over confi…