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math.DG2013★ 2 cited
Existence of 'Darboux chart' on loop space
Pradip Kumar
For a finite dimensional symplectic manifold with a symplectic form , corresponding loop space () admits a weak symplectic form . We prove that…
math.SG2013★ 2 cited
Darboux chart on Projective limit of weak symplectic Banach manifold
Pradip Kumar
Suppose M be the projective limit of weak symplectic Banach manifolds \{(M_i,ϕ_{ij})\}_{i,j\in\mathbb N}, where M_i are modeled over reflexive Banach space and σis compatible with…