Morphisms Between Grassmannian Complex and Higher Order Tangent Complex


  • Sadaqat Hussain FAST National University of Computer and Emerging Sciences, Karachi
  • Raziuddin Siddiqui Institute of Business Administration, Karachi, Pakistan



Tangent Complex, Grassmannian Complex, Cross-ratio, Configuration


In this article we extend the notion of tangent complex to higher order and propose morphisms between Grassmannian subcomplex and the tangent dialogarithmic complex for a general order. Moreover, we connect both these complexes and prove the commutativity of resulting diagram. The interesting point is the reappearance of classical Newton's Identities here in a completely different context to the one he had.


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How to Cite

Hussain, S., & Siddiqui, R. (2019). Morphisms Between Grassmannian Complex and Higher Order Tangent Complex. Communications in Mathematics and Applications, 10(3), 509–518.



Research Article