This text is a greatly expanded version of the mini-course I gave during the school Winter Braids VI organized in Lille between 22–25 February 2016. It is an introduction to the study of interactions between singularity theory of complex analytic varieties and contact topology. I concentrate on the relation between the smoothings of singularities and the Stein fillings of their contact boundaries. I tried to explain basic intuitions and facts in both fields, for the sake of the readers who are not accustomed with one of them.
@article{WBLN_2016__3__A3_0, author = {Patrick Popescu-Pampu}, title = {Complex singularities and contact topology}, journal = {Winter Braids Lecture Notes}, note = {talk:3}, pages = {1--74}, publisher = {Winter Braids School}, volume = {3}, year = {2016}, doi = {10.5802/wbln.14}, mrnumber = {3707744}, zbl = {1430.53002}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/wbln.14/} }
TY - JOUR AU - Patrick Popescu-Pampu TI - Complex singularities and contact topology JO - Winter Braids Lecture Notes N1 - talk:3 PY - 2016 SP - 1 EP - 74 VL - 3 PB - Winter Braids School UR - https://proceedings.centre-mersenne.org/articles/10.5802/wbln.14/ DO - 10.5802/wbln.14 LA - en ID - WBLN_2016__3__A3_0 ER -
Patrick Popescu-Pampu. Complex singularities and contact topology. Winter Braids Lecture Notes, Volume 3 (2016), Talk no. 3, 74 p. doi : 10.5802/wbln.14. https://proceedings.centre-mersenne.org/articles/10.5802/wbln.14/
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