2024-03-29T09:19:25Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00019054
2022-12-14T04:38:56Z
1169:1170
BV-structures on the homology of the framed long knot space
Sakai, Keiichi
Space of long knots
BV algebra
Hatcher's cycle
Hochschild homology
Connes' boundary operator
We introduce BV-algebra structures on the homology of the space of framed long knots in Rn in two ways. The first one is given in a similar fashion to Chas-Sullivan's string topology [5]. The second one is defined on the Hochschild homology associated with a cyclic, multiplicative operad of graded modules. The latter can be applied to Bousfield-Salvatore spectral sequence converging to the homology of the space of framed long knots. Conjecturally these two structures coincide with each other.
Article
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES. 2016:425-441 (2015)
journal article
SPRINGER HEIDELBERG
2015-05-27
application/pdf
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
3
11
425
441
2193-8407
https://soar-ir.repo.nii.ac.jp/record/19054/files/25800038_01.pdf
eng
10.1007/s40062-015-0111-1
https://doi.org/10.1007/s40062-015-0111-1
The final publication is available at link.springer.com