A note on the Mond conjecture and crosscap concatenations

C. Casonatto and R. Oset Sinha

Journal of Singularities
volume 12 (2015), 19-26

Received 4 December 2013. Received in revised form 16 September 2014.

DOI: 10.5427/jsing.2015.12b

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We prove the Mond conjecture relating the codimension of a map germ from C^n to C^{n+1} with its image Milnor number for bigerms resulting from the operation of simultaneous augmentation and monic concatenation. We then define a new operation, the crosscap concatenation, in order to obtain new examples of multigerms where the Mond conjecture can be tested.


Mond conjecture, augmentation and concatenation, multigerms

Mathematical Subject Classification:

58K40 (primary), 32S30, 32S70 (secondary)

Author(s) information:

Catiana Casonatto Raúl Oset Sinha
Faculdade de Matemática ICMC-USP
Universidade Federal de Uberlândia Av. Trabalhador São-carlense, 400 - Centro
CEP: 39408-100, Uberlândia - MG, Brazil CEP: 13566-590 - São Carlos - SP, Brazil
email: ccasonatto@famat.ufu.br email: raul.oset@uv.es