4 papers
The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds
Pengshuai Shi
Let and be two self-adjoint Fredholm Dirac-type operators defined on two non-compact manifolds. If they coincide at infinity so that the relative he…
REBOUNDx: A Library for Adding Conservative and Dissipative Forces to Otherwise Symplectic N-body Integrations
Daniel Tamayo, Hanno Rein, Pengshuai Shi +1
Symplectic methods, in particular the Wisdom-Holman map, have revolutionized our ability to model the long-term, conservative dynamics of planetary systems. However, many astrophys…
The index of a local boundary value problem for strongly Callias-type operators
Maxim Braverman, Pengshuai Shi
We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary v…
Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds
Pengshuai Shi
We study the Cauchy data spaces of the strongly Callias-type operators using maximal domain on manifolds with non-compact boundary, with the aim of understanding the Atiyah-Patodi-…