The following are some on-line biographies of Edward Carpenter.
Edward Carpenter by Philip Taylor
In Search of Edward Carpenter by Sheila Rowbotham
The two major print biographies are:
Edward Carpenter: A Life of Liberty and Love. Sheila Rowbotham, Verso Books, 2008.
Edward Carpenter, 1844-1929: Prophet of Human Fellowship. Chushichi Tsuzuki, Cambridge Universty Press, 1980. Reprinted 2005.