arXiv subjects

S. Rosenberg

Publications and source records attributed to S. Rosenberg.

2 recordsLinked to original sources

arXiv2005

Conformal Anomalies via Canonical Traces

Using Laurent expansions of the Kontsevich-Vishik canonical trace of holomorphic families of classical pseudodifferential operators, we define functionals on the space of Riemannian metrics and investigate their conformal properties, thereby giving a unified description of several conformal invariants and anomalies.

math.DG↗

arXiv2000

Gauge Theory Techniques in Quantum Cohomology

Quantum cohomology gives a finite dimensional integrable system via the Dubrovin connection. Motivated by Givental's work on mirror symmetry, we use gauge theory techniques and the Frobenius Integrability Theorem to find flat sections for the Dubrovin connection. An explicit calculation is given for projective space.

math.DG↗