Abstract
A simplicial (d − 1)-dimensional complex K is called balanced if the graph of K (i. e., the 1-dimensional skeleton) is d-colorable. Here we discuss some recent results as well as several open questions on face numbers of balanced manifolds and pseudomanifolds; we also present constructions of balanced manifolds (with and without boundary) with few vertices. This work is joint with Steve Klee.
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Research partially supported by NSF grant DMS–1069298.
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Novik, I. (2015). Balanced Manifolds and Pseudomanifolds. In: Benedetti, B., Delucchi, E., Moci, L. (eds) Combinatorial Methods in Topology and Algebra. Springer INdAM Series, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-20155-9_21
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DOI: https://doi.org/10.1007/978-3-319-20155-9_21
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