18 citations · 50 across the 21 of their papers we have counts for
6 papers · 1 filter
A Morphism Double Category and Monoidal Structure
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
A double category is constructed from a `fattened' version of a given category, motivated in part by a context of parallel transport. We also study monoidal structures on the under…
Path space forms and surface holonomy
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
We develop parallel transport on path spaces from a differential geometric approach, whose integral version connects with the category theoretic approach. In the framework of 2-con…
Parallel Transport over Path Spaces
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
We develop a differential geometric framework for parallel transport over path spaces and a corresponding discrete theory, an integrated version of the continuum theory, using a ca…
Negative forms and path space forms
Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta
We present an account of negative differential forms within a natural algebraic framework of differential graded algebras, and explain their relationship with forms on path spaces.
Generalized vector field
Saikat Chatterjee, Amitabha Lahiri
We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined.
Generalized forms and vector fields
Saikat Chatterjee, Amitabha Lahiri, Partha Guha
The generalized vector is defined on an dimensional manifold. Interior product, Lie derivative acting on generalized -forms, are introduced. Generalized commu…