arXiv Open Access 2025

On torsion in (bi)linearized Legendrian contact homology in dimension 3

Frédéric Bourgeois Salammbo Connolly

Lihat Sumber

Abstrak

Linearized Legendrian contact homology (LCH) and bilinearized LCH are important homological invariants for Legendrian submanifolds in contact geometry. For legendrian knots in $\mathbb{R}^3$, very little was previously known about the possibility of having torsion in these invariants when they are defined over integer coefficients. In this paper, we give properties of torsion that can appear in linearized LCH with integer coefficients, and also give the full geography of bilinearized LCH with integer coefficients.

Topik & Kata Kunci

math.SG

Penulis (2)

Frédéric Bourgeois

Salammbo Connolly

Format Sitasi

APA MLA BibTeX

Bourgeois, F., Connolly, S. (2025). On torsion in (bi)linearized Legendrian contact homology in dimension 3. https://arxiv.org/abs/2510.22360

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓