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Homological type of geometric transitions

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Abstract

The present paper gives an account and quantifies the change in topology induced by small and type II geometric transitions, by introducing the notion of the homological type of a geometric transition. The obtained results agree with, and go further than, most results and estimates, given to date by several authors, both in mathematical and physical literature.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123, Torino, Italy

    Michele Rossi

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  1. Michele Rossi
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Correspondence to Michele Rossi.

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This work has been developed despite the effects of the Italian law 133/08 (http://groups.google.it/group/scienceaction). This law drastically reduces public funds to public Italian universities, which is particularly dangerous for free scientific research, and it will prevent young researchers from getting a position, either temporary or tenured, in Italy. The author is protesting against this law to obtain its repeal.

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Rossi, M. Homological type of geometric transitions. Geom Dedicata 151, 323–359 (2011). https://doi.org/10.1007/s10711-010-9537-0

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