Introduces symplectic and contact geometry alongside Riemannian geometry, unlike other texts in differential geometry Develops tools from linear algebra and advanced calculus, including differential forms and tensors, that are necessary in differential geometry Introduces the reader to higher mathematics, inclu...
First Steps Towards a Symplectic Dynamics byBarney Bramham, Helmut Hofer Publisher:arXiv2011 Number of pages:60 Description: Both the field of dynamical systems and the field of symplectic geometry have rich theories and the time seems ripe to develop the common core with highly integrated ideas ...
We expect this to go some way in explaining the similarities mentioned above.doi:10.48550/arXiv.0806.2902Magnus JacobssonRyszard L. RubinszteinMathematicsM. Jacobsson and R. L. Rubinsztein, `Symplectic topology of SU(2)-representation varieties and link homology, I: symplectic braid action and the ...