Wedge in LaTeX (\wedge)

Where it is used

Wedge binary operator, for logical AND, the exterior (wedge) product and lattice meets.

Differential geometry builds forms like dx \wedge dy, with \omega \wedge \eta = (-1)^{kl} \eta \wedge \omega. Logic uses p \wedge q for conjunction (\land is an alias), and lattice theory writes a \wedge b for the greatest lower bound; probabilists write s \wedge t for \min(s, t). It is a binary operator with medium spacing. For conjunctions over an index set, use the large operator \bigwedge. In topology X \wedge Y is the smash product of pointed spaces. Do not confuse it with the hat accent \hat or \widehat.

Also listed under: Topology & Abstract Math

Minimal compilable example

Paste this into an empty .tex file and compile it with pdfLaTeX, XeLaTeX or LuaLaTeX.

\documentclass{article}
\begin{document}
Wedge: $\wedge$

\[ dx \wedge dy = -\, dy \wedge dx \]
\end{document}

Related symbols

• Vee\vee
• Square\square
• Union\cup
• Nabla\nabla
• Intersection\cap
• Triangle Down\triangledown

Frequently asked questions

How do I write Wedge in LaTeX?

Type \wedge in math mode, for example $dx \wedge dy = -\, dy \wedge dx$. It works in plain LaTeX without loading any package.

Which package do I need for \wedge?

None. \wedge is part of standard LaTeX, so it compiles with nothing in the preamble but the document class.

Can I use \wedge in text mode, or only in math mode?

Only in math mode. Outside $...$ LaTeX stops with "Missing $ inserted", so write $\wedge$ in running text. If you only need the glyph in text, paste the Unicode character ∧ instead (with XeLaTeX or LuaLaTeX and a font that has it).