These introductory notes on Whitney towers in 4-manifolds, as developed in collaboration with Jim Conant and Peter Teichner, are an expansion of three expository lectures given at the Winter Braids X conference February 2020 in Pisa, Italy. Topics presented include local manipulations of surfaces in –space, fundamental definitions related to Whitney towers and their associated trees, geometric Jacobi identities, the classification of order twisted Whitney towers in the –ball and higher-order Arf invariants, and low-order Whitney towers on –spheres in –manifolds and related invariants.
@article{WBLN_2020__7__A4_0, author = {Schneiderman, Rob}, title = {Introduction to {Whitney} towers}, booktitle = {Winter Braids X (Pisa, 2020)}, series = {Winter Braids Lecture Notes}, note = {talk:4}, pages = {1--71}, publisher = {Winter Braids School}, year = {2020}, doi = {10.5802/wbln.36}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/wbln.36/} }
TY - JOUR AU - Schneiderman, Rob TI - Introduction to Whitney towers BT - Winter Braids X (Pisa, 2020) AU - Collectif T3 - Winter Braids Lecture Notes N1 - talk:4 PY - 2020 SP - 1 EP - 71 PB - Winter Braids School UR - http://archive.numdam.org/articles/10.5802/wbln.36/ DO - 10.5802/wbln.36 LA - en ID - WBLN_2020__7__A4_0 ER -
%0 Journal Article %A Schneiderman, Rob %T Introduction to Whitney towers %B Winter Braids X (Pisa, 2020) %A Collectif %S Winter Braids Lecture Notes %Z talk:4 %D 2020 %P 1-71 %I Winter Braids School %U http://archive.numdam.org/articles/10.5802/wbln.36/ %R 10.5802/wbln.36 %G en %F WBLN_2020__7__A4_0
Schneiderman, Rob. Introduction to Whitney towers, in Winter Braids X (Pisa, 2020), Winter Braids Lecture Notes (2020), Talk no. 4, 71 p. doi : 10.5802/wbln.36. http://archive.numdam.org/articles/10.5802/wbln.36/
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