"How did gauge theory appear and become successful in mathematics in the space of a few years? The fundamental mathematical ingredients were in place. The basics of fibre and vector bundles and their connections were in daily use by geometers. Chern-Weil theory were studied in most graduate courses in differential geometry. De Rham cohomology and its realization via the Hodge theory of harmonic forms were standard items in differential topology. In hindsight, the Yang-Mills equations were waiting to be discovered. Yet mathematicians were in themselves unable to create them. Gauge field theory is an adopted child."
React to this quote
More by Karen Uhlenbeck
See allResonant Thoughts
"Drugs steal away so much. They take and take, until finally every time a drug goes into a child, something else is forced out — like love and hope and trust and confidence. Drugs take away the dream f…"
Explore Further
Related Quotes
"Many of the most fundamental claims of science are against common sense and seem absurd on their face. Do p…"
— Richard Lewontin"The theory of probability can never lead to a definite statement concerning a single event."
— Richard von Mises"I have so emphatically impressed the need of harmlessness upon all of you, for it is the scientific method,…"
— Alice Bailey"Today, we are seeing hundreds of years of scientific discovery being challenged by people who simply disreg…"
— Michael Bloomberg"Hitherto, the science of Man has been limited to researches... respecting some of its laws, to results dedu…"
— Adolphe Quetelet"Our... cognitive architecture is based on a formal theory... the PSI theory... has been turned into a compu…"
— Joscha Bach
Related Thinkers
Related Topics
Deep Dives
- Leonardo da Vinci on Science
- Kenneth Arrow on science
- Charles Babbage on science
- John Wallis on science
- William A. Dembski on science
- Leonardo da Vinci on life
- Leonardo da Vinci on nature
- Leonardo da Vinci on art
- Leonardo da Vinci on knowledge
- Leonardo da Vinci on philosophy
- knowledge & Beauty
- knowledge & Change

