@article{Tarkhanov2011, author = {Tarkhanov, Nikolai Nikolaevich}, title = {The dirichlet to Neumann operator for elliptic complexes}, series = {Transactions of the American Mathematical Society}, volume = {363}, journal = {Transactions of the American Mathematical Society}, number = {12}, publisher = {American Mathematical Soc.}, address = {Providence}, issn = {0002-9947}, pages = {6421 -- 6437}, year = {2011}, abstract = {We define the Dirichlet to Neumann operator for an elliptic complex of first order differential operators on a compact Riemannian manifold with boundary. Under reasonable conditions the Betti numbers of the complex prove to be completely determined by the Dirichlet to Neumann operator on the boundary.}, language = {en} }