73 citations · 326 across the 36 of their papers we have counts for
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Construction and Analysis of Projected Deformed Products
Raman Sanyal, Günter M. Ziegler
We introduce a deformed product construction for simple polytopes in terms of lower-triangular block matrix representations. We further show how Gale duality can be employed for th…
On Kalai's conjectures concerning centrally symmetric polytopes
Raman Sanyal, Axel Werner, Günter M. Ziegler
In 1989 Kalai stated the three conjectures A, B, C of increasing strength concerning face numbers of centrally symmetric convex polytopes. The weakest conjecture, A, became known a…
Combinatorial Stokes formulas via minimal resolutions
Bernhard Hanke, Raman Sanyal, Carsten Schultz +1
We describe an explicit chain map from the standard resolution to the minimal resolution for the finite cyclic group Z_k of order k. We then demonstrate how such a chain map induce…
Topological obstructions for vertex numbers of Minkowski sums
Raman Sanyal
We show that for polytopes P_1, P_2, ..., P_r \subset \R^d, each having n_i \ge d+1 vertices, the Minkowski sum P_1 + P_2 + ... + P_r cannot achieve the maximum of \prod_i n_i vert…