Vertex algebras and the formal loop space
By M. Kapranov, E. Vasserot. 2001
96 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f2c294956a6f72b44a00efb44776978223d25d31
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Microlocal branes are constructible sheaves (2006, background): “Many other theories (such as cyclic homology [24], and the chiral de Rham complex [14]) also relate small loops in the base to the de Rham complex (and hence D-modules), while other versions of Floer theory on the cotangent bundle are closely related to the full path space of the base (for example, ”
- Free Lie algebroids and the space of paths (2007, methodology): “It is analogous to (but different from) LX, the ind-scheme of formal parametrized loops in X, constructed in [ KV1 ].”
- Infinite-Dimensional Vector Bundles in Algebraic Geometry (2006, background): “According to A. Beilinson (private communication), these theories, in fact, render to the class of formally smooth reasonable ind-schemes, which contains both “smooth locally compact” ind-schemes in the sense of [ KV ] and T-smooth ones.”
- Elliptic genera, real algebraic varieties and quasi-Jacobi forms (2009, methodology): “An alternative construction using the formal loop space was gi ven n [32].”